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141421232115540 = 2232513508711880563
BaseRepresentation
bin100000001001111100110010…
…010011011100111101010100
3200112201201220211012120002200
4200021330302103130331110
5122014021140410144130
61220440003411404500
741534226652660446
oct4011746223347524
9615651824176080
10141421232115540
114107445375a163
1213a404705b3730
1360bac7104c540
1426ccb776ac496
151153a56648760
hex809f324dcf54

141421232115540 has 144 divisors (see below), whose sum is σ = 462066878827008. Its totient is φ = 34804534079232.

The previous prime is 141421232115529. The next prime is 141421232115619. The reversal of 141421232115540 is 45511232124141.

141421232115540 is a `hidden beast` number, since 1 + 4 + 1 + 421 + 23 + 21 + 155 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141421232115495 and 141421232115504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5963299 + ... + 17843861.

It is an arithmetic number, because the mean of its divisors is an integer number (3208797769632).

Almost surely, 2141421232115540 is an apocalyptic number.

141421232115540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141421232115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231033439413504).

141421232115540 is an abundant number, since it is smaller than the sum of its proper divisors (320645646711468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141421232115540 is a wasteful number, since it uses less digits than its factorization.

141421232115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885678 (or 11885673 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 141421232115540 its reverse (45511232124141), we get a palindrome (186932464239681).

The spelling of 141421232115540 in words is "one hundred forty-one trillion, four hundred twenty-one billion, two hundred thirty-two million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5087 10174 15261 20348 25435 30522 45783 50870 61044 66131 76305 91566 101740 132262 152610 183132 198393 228915 264524 305220 330655 396786 457830 595179 661310 793572 915660 991965 1190358 1322620 1983930 2380716 2975895 3967860 5951790 11880563 11903580 23761126 35641689 47522252 59402815 71283378 106925067 118805630 142566756 154447319 178208445 213850134 237611260 308894638 356416890 427700268 463341957 534625335 617789276 712833780 772236595 926683914 1069250670 1390025871 1544473190 1853367828 2138501340 2316709785 2780051742 3088946380 4633419570 5560103484 6950129355 9266839140 13900258710 27800517420 60436423981 120872847962 181309271943 241745695924 302182119905 362618543886 543927815829 604364239810 725237087772 785673511753 906546359715 1087855631658 1208728479620 1571347023506 1813092719430 2175711263316 2357020535259 2719639079145 3142694047012 3626185438860 3928367558765 4714041070518 5439278158290 7071061605777 7856735117530 9428082141036 10878556316580 11785102676295 14142123211554 15713470235060 23570205352590 28284246423108 35355308028885 47140410705180 70710616057770 141421232115540