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401302424203104 = 25319347634041193
BaseRepresentation
bin101101100111110111000000…
…0011100010010111101100000
31221121220010200221011211212010
41123033232000130102331200
5410044414331043444404
63541255442201432520
7150346100113663404
oct13317560034227540
91847803627154763
10401302424203104
1110695a447591526
1239013121a9b740
13142bc86b9563a8
1471151d8b53104
15315dbe4cab189
hex16cfb80712f60

401302424203104 has 96 divisors (see below), whose sum is σ = 1112057530980480. Its totient is φ = 126361873400832.

The previous prime is 401302424203069. The next prime is 401302424203127.

401302424203104 is nontrivially palindromic in base 10.

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

It is a super-2 number, since 2×4013024242031042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316387669 + ... + 317653524.

It is an arithmetic number, because the mean of its divisors is an integer number (11583932614380).

Almost surely, 2401302424203104 is an apocalyptic number.

It is an amenable number.

401302424203104 is an abundant number, since it is smaller than the sum of its proper divisors (710755106777376).

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

401302424203104 is a wasteful number, since it uses less digits than its factorization.

401302424203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634041572 (or 634041564 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 401302424203104 in words is "four hundred one trillion, three hundred two billion, four hundred twenty-four million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 347 456 608 694 912 1041 1388 1824 2082 2776 4164 5552 6593 8328 11104 13186 16656 19779 26372 33312 39558 52744 79116 105488 158232 210976 316464 632928 634041193 1268082386 1902123579 2536164772 3804247158 5072329544 7608494316 10144659088 12046782667 15216988632 20289318176 24093565334 30433977264 36140348001 48187130668 60867954528 72280696002 96374261336 144561392004 192748522672 220012293971 289122784008 385497045344 440024587942 578245568016 660036881913 880049175884 1156491136032 1320073763826 1760098351768 2640147527652 3520196703536 4180233585449 5280295055304 7040393407072 8360467170898 10560590110608 12540700756347 16720934341796 21121180221216 25081401512694 33441868683592 50162803025388 66883737367184 100325606050776 133767474734368 200651212101552 401302424203104