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10140443324514 = 2332983179435847
BaseRepresentation
bin1001001110010000000110…
…0001011011000001100010
31022220102020221010100111000
42103210001201123001202
52312120111442341024
633322242204532430
72064423432041016
oct223440141330142
938812227110430
1010140443324514
11325a5a0994458
121179351b51116
1358731681a8c9
14270b2b59c546
15128b99a34cc9
hex9390185b062

10140443324514 has 128 divisors (see below), whose sum is σ = 23724078336000. Its totient is φ = 3206250540864.

The previous prime is 10140443324513. The next prime is 10140443324519. The reversal of 10140443324514 is 41542334404101.

It is a happy number.

10140443324514 is a `hidden beast` number, since 1 + 0 + 1 + 404 + 4 + 3 + 3 + 245 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10140443324513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23048139 + ... + 23483985.

It is an arithmetic number, because the mean of its divisors is an integer number (185344362000).

Almost surely, 210140443324514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140443324514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862039168000).

10140443324514 is an abundant number, since it is smaller than the sum of its proper divisors (13583635011486).

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

10140443324514 is a wasteful number, since it uses less digits than its factorization.

10140443324514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436149 (or 436143 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10140443324514 its reverse (41542334404101), we get a palindrome (51682777728615).

The spelling of 10140443324514 in words is "ten trillion, one hundred forty billion, four hundred forty-three million, three hundred twenty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 83 87 166 174 179 249 261 358 498 522 537 747 783 1074 1494 1566 1611 2241 2407 3222 4482 4814 4833 5191 7221 9666 10382 14442 14857 15573 21663 29714 31146 43326 44571 46719 64989 89142 93438 129978 133713 140157 267426 280314 401139 430853 435847 802278 861706 871694 1292559 1307541 2585118 2615082 3877677 3922623 7755354 7845246 11633031 11767869 12639563 23266062 23535738 25279126 36175301 37918689 72350602 75837378 78016613 108525903 113756067 156033226 217051806 227512134 234049839 325577709 341268201 468099678 651155418 682536402 702149517 976733127 1049083729 1404299034 1953466254 2098167458 2106448551 2262481777 3147251187 4212897102 4524963554 6294502374 6475378879 6787445331 9441753561 12950757758 13574890662 18883507122 19426136637 20362335993 28325260683 38852273274 40724671986 56650521366 58278409911 61087007979 116556819822 122174015958 174835229733 187785987491 349670459466 375571974982 563357962473 1126715924946 1690073887419 3380147774838 5070221662257 10140443324514