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47242336446240 = 2535137570887251
BaseRepresentation
bin10101011110111011101101…
…01011101010011100100000
320012021022201122122222101120
422233131312223222130200
522143004301112234430
6244250455120532240
712644101065110325
oct1257356653523440
9205238648588346
1047242336446240
11140643a9356261
12536ba6aa81080
132048c1935aa80
14b947813d8b4c
1556dd35547610
hex2af776aea720

47242336446240 has 96 divisors (see below), whose sum is σ = 160260541350336. Its totient is φ = 11628882816000.

The previous prime is 47242336446211. The next prime is 47242336446299. The reversal of 47242336446240 is 4264463324274.

47242336446240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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, 3785437386 + ... + 3785449865.

It is an arithmetic number, because the mean of its divisors is an integer number (1669380639066).

Almost surely, 247242336446240 is an apocalyptic number.

47242336446240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47242336446240 is an abundant number, since it is smaller than the sum of its proper divisors (113018204904096).

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

47242336446240 is a wasteful number, since it uses less digits than its factorization.

47242336446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570887282 (or 7570887274 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 51.

The spelling of 47242336446240 in words is "forty-seven trillion, two hundred forty-two billion, three hundred thirty-six million, four hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 7570887251 15141774502 22712661753 30283549004 37854436255 45425323506 60567098008 75708872510 90850647012 98421534263 113563308765 121134196016 151417745020 181701294024 196843068526 227126617530 242268392032 295264602789 302835490040 363402588048 393686137052 454253235060 492107671315 590529205578 605670980080 726805176096 787372274104 908506470120 984215342630 1181058411156 1211341960160 1476323013945 1574744548208 1817012940240 1968430685260 2362116822312 2952646027890 3149489096416 3634025880480 3936861370520 4724233644624 5905292055780 7873722741040 9448467289248 11810584111560 15747445482080 23621168223120 47242336446240