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114010431515540 = 225731241109002841
BaseRepresentation
bin11001111011000100011111…
…010001010110101110010100
3112221200021211222222101012122
4121323010133101112232110
5104420421330431444130
61042251400313235112
733004660530116510
oct3173043721265624
9487607758871178
10114010431515540
113336660938788a
1210953b9aa02a98
134b801a32b16a1
1420221c484d140
15d2aa163b72e5
hex67b11f456b94

114010431515540 has 96 divisors (see below), whose sum is σ = 283623650838528. Its totient is φ = 37671381504000.

The previous prime is 114010431515503. The next prime is 114010431515549. The reversal of 114010431515540 is 45515134010411.

It is a super-2 number, since 2×1140104315155402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114010431515540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114010431515549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53455481 + ... + 55547360.

It is an arithmetic number, because the mean of its divisors is an integer number (2954413029568).

Almost surely, 2114010431515540 is an apocalyptic number.

114010431515540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010431515540 is an abundant number, since it is smaller than the sum of its proper divisors (169613219322988).

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

114010431515540 is a wasteful number, since it uses less digits than its factorization.

114010431515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109003129 (or 109003127 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 114010431515540 its reverse (45515134010411), we get a palindrome (159525565525951).

The spelling of 114010431515540 in words is "one hundred fourteen trillion, ten billion, four hundred thirty-one million, five hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 241 310 434 482 620 868 964 1085 1205 1687 2170 2410 3374 4340 4820 6748 7471 8435 14942 16870 29884 33740 37355 52297 74710 104594 149420 209188 261485 522970 1045940 109002841 218005682 436011364 545014205 763019887 1090028410 1526039774 2180056820 3052079548 3379088071 3815099435 6758176142 7630198870 13516352284 15260397740 16895440355 23653616497 26269684681 33790880710 47307232994 52539369362 67581761420 94614465988 105078738724 118268082485 131348423405 183887792767 236536164970 262696846810 367775585534 473072329940 525393693620 735551171068 814360225111 919438963835 1628720450222 1838877927670 3257440900444 3677755855340 4071801125555 5700521575777 8143602251110 11401043151554 16287204502220 22802086303108 28502607878885 57005215757770 114010431515540