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442221885688280 = 23537472135264179
BaseRepresentation
bin110010010001100101100111…
…0011010001000100111011000
32010222202222222120002211012012
41210203023032122020213120
5430430330410214011110
64204305532452405052
7162101322401516465
oct14443131632104730
92128688876084165
10442221885688280
111189a6280852235
1241721692916788
1315c9a463935c49
147b2b92119a66c
15361d31584a905
hex19232ce6889d8

442221885688280 has 96 divisors (see below), whose sum is σ = 1044096089569200. Its totient is φ = 168446104033536.

The previous prime is 442221885688273. The next prime is 442221885688357. The reversal of 442221885688280 is 82886588122244.

It is a self number, because there is not a number n which added to its sum of digits gives 442221885688280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64362770 + ... + 70901409.

Almost surely, 2442221885688280 is an apocalyptic number.

442221885688280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442221885688280 is an abundant number, since it is smaller than the sum of its proper divisors (601874203880920).

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

442221885688280 is a wasteful number, since it uses less digits than its factorization.

442221885688280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135264321 (or 135264270 counting only the distinct ones).

The product of its (nonzero) digits is 251658240, while the sum is 68.

The spelling of 442221885688280 in words is "four hundred forty-two trillion, two hundred twenty-one billion, eight hundred eighty-five million, six hundred eighty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 370 376 470 740 940 1480 1739 1880 2209 3478 4418 6956 8695 8836 11045 13912 17390 17672 22090 34780 44180 69560 81733 88360 163466 326932 408665 653864 817330 1634660 3269320 135264179 270528358 541056716 676320895 1082113432 1352641790 2705283580 5004774623 5410567160 6357416413 10009549246 12714832826 20019098492 25023873115 25429665652 31787082065 40038196984 50047746230 50859331304 63574164130 100095492460 127148328260 200190984920 235224407281 254296656520 298798571411 470448814562 597597142822 940897629124 1176122036405 1195194285644 1493992857055 1881795258248 2352244072810 2390388571288 2987985714110 4704488145620 5975971428220 9408976291240 11055547142207 11951942856440 22111094284414 44222188568828 55277735711035 88444377137656 110555471422070 221110942844140 442221885688280