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40100025151232 = 281721439376657
BaseRepresentation
bin10010001111000100000111…
…10000010010111100000000
312020222112011200220011120022
421013202003300102330000
520223444322414314412
6221141410334233012
711306063001564314
oct1107420360227400
9166875150804508
1040100025151232
1111860363879712
1245b77a1355768
13194b554372197
149c8bcca05b44
15498161273a72
hex247883c12f00

40100025151232 has 108 divisors (see below), whose sum is σ = 85088126975040. Its totient is φ = 18857436315648.

The previous prime is 40100025151063. The next prime is 40100025151247. The reversal of 40100025151232 is 23215152000104.

It is a super-2 number, since 2×401000251512322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106274648 + ... + 106651304.

Almost surely, 240100025151232 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 40100025151232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42544063487520).

40100025151232 is an abundant number, since it is smaller than the sum of its proper divisors (44988101823808).

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

40100025151232 is a wasteful number, since it uses less digits than its factorization.

40100025151232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378146 (or 378115 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 40100025151232 its reverse (23215152000104), we get a palindrome (63315177151336).

The spelling of 40100025151232 in words is "forty trillion, one hundred billion, twenty-five million, one hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 544 578 1088 1156 1439 2176 2312 2878 4352 4624 5756 9248 11512 18496 23024 24463 36992 46048 48926 73984 92096 97852 184192 195704 368384 376657 391408 415871 753314 782816 831742 1506628 1565632 1663484 3013256 3131264 3326968 6026512 6262528 6403169 6653936 12053024 12806338 13307872 24106048 25612676 26615744 48212096 51225352 53231488 96424192 102450704 106462976 108853873 204901408 217707746 409802816 435415492 542009423 819605632 870830984 1084018846 1639211264 1741661968 2168037692 3483323936 4336075384 6966647872 8672150768 9214160191 13933295744 17344301536 18428320382 27866591488 34688603072 36856640764 69377206144 73713281528 138754412288 147426563056 156640723247 294853126112 313281446494 589706252224 626562892988 1179412504448 1253125785976 2358825008896 2506251571952 5012503143904 10025006287808 20050012575616 40100025151232