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23005540315040 = 255643402755529
BaseRepresentation
bin1010011101100011001010…
…00011101110111110100000
310000110022022122210221120012
411032301211003232332200
511003410321310040130
6120532333241504052
74563044510126663
oct516614503567640
9100408278727505
1023005540315040
11736a65a833478
1226b6764aa2028
13cab54a8a165a
1459768cca36da
1529d660bae995
hex14ec650eefa0

23005540315040 has 96 divisors (see below), whose sum is σ = 54449613650880. Its totient is φ = 9185457752064.

The previous prime is 23005540315039. The next prime is 23005540315097. The reversal of 23005540315040 is 4051304550032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23005540314988 and 23005540315006.

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 15 ways as a sum of consecutive naturals, for example, 414269996 + ... + 414325524.

It is an arithmetic number, because the mean of its divisors is an integer number (567183475530).

Almost surely, 223005540315040 is an apocalyptic number.

23005540315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23005540315040 is an abundant number, since it is smaller than the sum of its proper divisors (31444073335840).

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

23005540315040 is a wasteful number, since it uses less digits than its factorization.

23005540315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60214 (or 60206 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 23005540315040 its reverse (4051304550032), we get a palindrome (27056844865072).

The spelling of 23005540315040 in words is "twenty-three trillion, five billion, five hundred forty million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 643 1286 2572 3215 4027 5144 6430 8054 10288 12860 16108 20135 20576 25720 32216 40270 51440 55529 64432 80540 102880 111058 128864 161080 222116 277645 322160 444232 555290 644320 888464 1110580 1776928 2221160 2589361 4442320 5178722 8884640 10357444 12946805 20714888 25893610 35705147 41429776 51787220 71410294 82859552 103574440 142820588 178525735 207148880 223615283 285641176 357051470 414297760 447230566 571282352 714102940 894461132 1118076415 1142564704 1428205880 1788922264 2236152830 2856411760 3577844528 4472305660 5712823520 7155689056 8944611320 17889222640 35778445280 143784626969 287569253938 575138507876 718923134845 1150277015752 1437846269690 2300554031504 2875692539380 4601108063008 5751385078760 11502770157520 23005540315040