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401254421054202 = 232371316417174907
BaseRepresentation
bin101101100111100000101001…
…1001110110100001011111010
31221121201112210111210012222100
41123033001103032310023322
5410043123023242213302
63541221423011404230
7150342450416646102
oct13317012316641372
91847645714705870
10401254421054202
11106941054005241
12390059658b3676
13142b818b7ca681
147112b636dc202
15315c8358a5d1c
hex16cf0533b42fa

401254421054202 has 96 divisors (see below), whose sum is σ = 901101058064064. Its totient is φ = 128941670707200.

The previous prime is 401254421054171. The next prime is 401254421054233. The reversal of 401254421054202 is 202450124452104.

401254421054202 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 5 + 442 + 1 + 0 + 5 + 4 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (401254421054171) and next prime (401254421054233).

It is a super-2 number, since 2×4012544210542022 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52337233 + ... + 59512139.

It is an arithmetic number, because the mean of its divisors is an integer number (9386469354834).

Almost surely, 2401254421054202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401254421054202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450550529032032).

401254421054202 is an abundant number, since it is smaller than the sum of its proper divisors (499846637009862).

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

401254421054202 is a wasteful number, since it uses less digits than its factorization.

401254421054202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175724 (or 7175721 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 401254421054202 in words is "four hundred one trillion, two hundred fifty-four billion, four hundred twenty-one million, fifty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 131 222 262 333 393 641 666 786 1179 1282 1923 2358 3846 4847 5769 9694 11538 14541 23717 29082 43623 47434 71151 83971 87246 142302 167942 213453 251913 426906 503826 755739 1511478 3106927 6213854 7174907 9320781 14349814 18641562 21524721 27962343 43049442 55924686 64574163 129148326 265471559 530943118 796414677 939912817 1592829354 1879825634 2389244031 2819738451 4599115387 4778488062 5639476902 8459215353 9198230774 13797346161 16918430706 27594692322 34776774229 41392038483 69553548458 82784076966 104330322687 170167269319 208660645374 312990968061 340334538638 510501807957 602484115697 625981936122 1021003615914 1204968231394 1531505423871 1807452347091 3063010847742 3614904694182 5422357041273 10844714082546 22291912280789 44583824561578 66875736842367 133751473684734 200627210527101 401254421054202