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14311032040332 = 22337910316284817
BaseRepresentation
bin1101000001000000101111…
…1110110010101110001100
31212200010021102120200211000
43100100023332302232030
53333432443200242312
650234221455100300
73004636500153006
oct320201376625614
955603242520730
1014311032040332
114618302554095
1217316a7811690
137ca6a8517a71
1437692c821376
1519c3e1d79adc
hexd040bfb2b8c

14311032040332 has 96 divisors (see below), whose sum is σ = 37937112012800. Its totient is φ = 4664231859456.

The previous prime is 14311032040301. The next prime is 14311032040367. The reversal of 14311032040332 is 23304023011341.

It is a happy number.

14311032040332 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 1 + 0 + 320 + 4 + 0 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14311032040296 and 14311032040305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7263613 + ... + 9021204.

Almost surely, 214311032040332 is an apocalyptic number.

14311032040332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14311032040332 is an abundant number, since it is smaller than the sum of its proper divisors (23626079972468).

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

14311032040332 is a wasteful number, since it uses less digits than its factorization.

14311032040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16285012 (or 16285004 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14311032040332 its reverse (23304023011341), we get a palindrome (37615055051673).

The spelling of 14311032040332 in words is "fourteen trillion, three hundred eleven billion, thirty-two million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 103 108 158 206 237 309 316 412 474 618 711 927 948 1236 1422 1854 2133 2781 2844 3708 4266 5562 8137 8532 11124 16274 24411 32548 48822 73233 97644 146466 219699 292932 439398 878796 16284817 32569634 48854451 65139268 97708902 146563353 195417804 293126706 439690059 586253412 879380118 1286500543 1677336151 1758760236 2573001086 3354672302 3859501629 5032008453 5146002172 6709344604 7719003258 10064016906 11578504887 15096025359 15438006516 20128033812 23157009774 30192050718 34735514661 45288076077 46314019548 60384101436 69471029322 90576152154 132509555929 138942058644 181152304308 265019111858 397528667787 530038223716 795057335574 1192586003361 1590114671148 2385172006722 3577758010083 4770344013444 7155516020166 14311032040332