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12431232414144 = 263233016538019
BaseRepresentation
bin1011010011100101111100…
…1100010011000111000000
31122000102011221221111112200
42310321133030103013000
53112133130444223034
642234455045153200
72422061346032355
oct264713714230700
948012157844480
1012431232414144
113a63068686215
12148930a6bb800
136c234c82624b
1430d963b5662c
15168571732a99
hexb4e5f3131c0

12431232414144 has 84 divisors (see below), whose sum is σ = 35642682908040. Its totient is φ = 4142488204800.

The previous prime is 12431232414131. The next prime is 12431232414187. The reversal of 12431232414144 is 44141423213421.

12431232414144 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 1 + 232 + 4 + 1 + 414 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12431232414099 and 12431232414108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1367634 + ... + 5170385.

Almost surely, 212431232414144 is an apocalyptic number.

It is an amenable number.

12431232414144 is an abundant number, since it is smaller than the sum of its proper divisors (23211450493896).

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

12431232414144 is a wasteful number, since it uses less digits than its factorization.

12431232414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541338 (or 6541325 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 12431232414144 its reverse (44141423213421), we get a palindrome (56572655627565).

The spelling of 12431232414144 in words is "twelve trillion, four hundred thirty-one billion, two hundred thirty-two million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3301 6602 9903 13204 19806 26408 29709 39612 52816 59418 79224 105632 118836 158448 211264 237672 316896 475344 633792 950688 1901376 6538019 13076038 19614057 26152076 39228114 52304152 58842171 78456228 104608304 117684342 156912456 209216608 235368684 313824912 418433216 470737368 627649824 941474736 1255299648 1882949472 3765898944 21582000719 43164001438 64746002157 86328002876 129492004314 172656005752 194238006471 258984008628 345312011504 388476012942 517968017256 690624023008 776952025884 1035936034512 1381248046016 1553904051768 2071872069024 3107808103536 4143744138048 6215616207072 12431232414144