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4085090947840 = 28571726819137
BaseRepresentation
bin111011011100100010011…
…001010001001100000000
3112110112100000022201110211
4323130202121101030000
51013412231240312330
612404355340203504
7601065235063210
oct73344231211400
915415300281424
104085090947840
111335528384161
1255b874839594
132382b7883606
14101a10292240
15713e1397d2a
hex3b722651300

4085090947840 has 144 divisors (see below), whose sum is σ = 11840756703552. Its totient is φ = 1318214172672.

The previous prime is 4085090947831. The next prime is 4085090947897. The reversal of 4085090947840 is 487490905804.

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 15 ways as a sum of consecutive naturals, for example, 13257249 + ... + 13561888.

It is an arithmetic number, because the mean of its divisors is an integer number (82227477108).

Almost surely, 24085090947840 is an apocalyptic number.

4085090947840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4085090947840 is an abundant number, since it is smaller than the sum of its proper divisors (7755665755712).

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

4085090947840 is a wasteful number, since it uses less digits than its factorization.

4085090947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26819182 (or 26819168 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 4085090947840 in words is "four trillion, eighty-five billion, ninety million, nine hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7616 8960 9520 10880 15232 19040 21760 30464 38080 76160 152320 26819137 53638274 107276548 134095685 187733959 214553096 268191370 375467918 429106192 455925329 536382740 750935836 858212384 911850658 938669795 1072765480 1501871672 1716424768 1823701316 1877339590 2145530960 2279626645 3003743344 3191477303 3432849536 3647402632 3754679180 4291061920 4559253290 6007486688 6382954606 6865699072 7294805264 7509358360 8582123840 9118506580 12014973376 12765909212 14589610528 15018716720 15957386515 17164247680 18237013160 24029946752 25531818424 29179221056 30037433440 31914773030 34328495360 36474026320 48059893504 51063636848 58358442112 60074866880 63829546060 72948052640 102127273696 116716884224 120149733760 127659092120 145896105280 204254547392 240299467520 255318184240 291792210560 408509094784 510636368480 583584421120 817018189568 1021272736960 2042545473920 4085090947840