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10140602215432 = 23134110944948593
BaseRepresentation
bin1001001110010000101011…
…1111100010110000001000
31022220102200000002211211211
42103210022333202300020
52312120423131343212
633322310042302504
72064430401430603
oct223441277426010
938812600084754
1010140602215432
11325a672649567
1211793971b7a34
135873407105c0
14270b4471d33a
15128ba896d9a7
hex9390afe2c08

10140602215432 has 128 divisors (see below), whose sum is σ = 21215654460000. Its totient is φ = 4514064629760.

The previous prime is 10140602215411. The next prime is 10140602215459. The reversal of 10140602215432 is 23451220604101.

It can be written as a sum of positive squares in 16 ways, for example, as 164694742276 + 9975907473156 = 405826^2 + 3158466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10140602215394 and 10140602215403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208660128 + ... + 208708720.

Almost surely, 210140602215432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140602215432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607827230000).

10140602215432 is an abundant number, since it is smaller than the sum of its proper divisors (11075052244568).

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

10140602215432 is a wasteful number, since it uses less digits than its factorization.

10140602215432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49211 (or 49207 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10140602215432 its reverse (23451220604101), we get a palindrome (33591822819533).

The spelling of 10140602215432 in words is "ten trillion, one hundred forty billion, six hundred two million, two hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 109 164 218 328 436 449 533 872 898 1066 1417 1796 2132 2834 3592 4264 4469 5668 5837 8938 11336 11674 17876 18409 23348 35752 36818 46696 48593 48941 58097 73636 97186 97882 116194 147272 194372 195764 232388 239317 388744 391528 464776 478634 631709 636233 957268 1263418 1272466 1914536 1992313 2006581 2526836 2544932 3984626 4013162 5053672 5089864 5296637 7969252 8026324 10593274 15938504 16052648 21186548 21818257 25900069 26085553 42373096 43636514 51800138 52171106 68856281 87273028 103600276 104342212 137712562 174546056 207200552 208684424 217162117 275425124 283637341 434324234 550850248 567274682 868648468 894548537 1134549364 1737296936 1789097074 2269098728 2378190013 2823107521 3578194148 4756380026 5646215042 7156388296 9512760052 11292430084 11629130981 19025520104 22584860168 23258261962 30916470169 46516523924 61832940338 93033047848 97505790533 123665880676 195011581066 247331761352 390023162132 780046324264 1267575276929 2535150553858 5070301107716 10140602215432