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401350003005312 = 2732632415508991
BaseRepresentation
bin101101101000001101001010…
…0010111000001011110000000
31221122001200111210002102111200
41123100122110113001132000
5410101204301232132222
63541333351312341200
7150352403136064434
oct13320322427013600
91848050453072450
10401350003005312
11106978642583869
123902039bb44800
13142c41b1bc7aaa
14711762daa69c4
15316007bcddeac
hex16d06945c1780

401350003005312 has 96 divisors (see below), whose sum is σ = 1154944912892160. Its totient is φ = 133781194598400.

The previous prime is 401350003005311. The next prime is 401350003005313. The reversal of 401350003005312 is 213500300053104.

401350003005312 is a `hidden beast` number, since 4 + 0 + 1 + 350 + 0 + 0 + 300 + 5 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (401350003005311) and next prime (401350003005313).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4013500030053122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401350003005311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70099137 + ... + 75608127.

It is an arithmetic number, because the mean of its divisors is an integer number (12030676175960).

Almost surely, 2401350003005312 is an apocalyptic number.

It is an amenable number.

401350003005312 is an abundant number, since it is smaller than the sum of its proper divisors (753594909886848).

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

401350003005312 is a wasteful number, since it uses less digits than its factorization.

401350003005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572252 (or 5572237 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 401350003005312 its reverse (213500300053104), we get a palindrome (614850303058416).

The spelling of 401350003005312 in words is "four hundred one trillion, three hundred fifty billion, three million, five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 63241 126482 189723 252964 379446 505928 569169 758892 1011856 1138338 1517784 2023712 2276676 3035568 4047424 4553352 5508991 6071136 8094848 9106704 11017982 12142272 16526973 18213408 22035964 24284544 33053946 36426816 44071928 49580919 66107892 72853632 88143856 99161838 132215784 176287712 198323676 264431568 352575424 396647352 528863136 705150848 793294704 1057726272 1586589408 2115452544 3173178816 6346357632 348394099831 696788199662 1045182299493 1393576399324 2090364598986 2787152798648 3135546898479 4180729197972 5574305597296 6271093796958 8361458395944 11148611194592 12542187593916 16722916791888 22297222389184 25084375187832 33445833583776 44594444778368 50168750375664 66891667167552 100337500751328 133783334335104 200675001502656 401350003005312