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113387523840 = 283353280889
BaseRepresentation
bin110100110011001101…
…1000100111100000000
3101211200011122000111000
41221212123010330000
53324204201230330
6124031200052000
711122564023153
oct1514633047400
9354604560430
10113387523840
11440a6334998
1219b85304000
13a900275096
1456b9063c9a
152e396d8560
hex1a666c4f00

113387523840 has 144 divisors (see below), whose sum is σ = 402368349600. Its totient is φ = 30236663808.

The previous prime is 113387523833. The next prime is 113387523841. The reversal of 113387523840 is 48325783311.

113387523840 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 87 + 523 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113387523841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605885 + ... + 1675004.

It is an arithmetic number, because the mean of its divisors is an integer number (2794224650).

Almost surely, 2113387523840 is an apocalyptic number.

113387523840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113387523840 is an abundant number, since it is smaller than the sum of its proper divisors (288980825760).

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

113387523840 is an equidigital number, since it uses as much as digits as its factorization.

113387523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280919 (or 3280899 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 113387523840 in words is "one hundred thirteen billion, three hundred eighty-seven million, five hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 3280889 6561778 9842667 13123556 16404445 19685334 26247112 29528001 32808890 39370668 49213335 52494224 59056002 65617780 78741336 88584003 98426670 104988448 118112004 131235560 147640005 157482672 177168006 196853340 209976896 236224008 262471120 295280010 314965344 354336012 393706680 419953792 442920015 472448016 524942240 590560020 629930688 708672024 787413360 839907584 885840030 944896032 1049884480 1181120040 1259861376 1417344048 1574826720 1771680060 1889792064 2099768960 2362240080 2519722752 2834688096 3149653440 3543360120 3779584128 4199537920 4724480160 5669376192 6299306880 7086720240 7559168256 9448960320 11338752384 12598613760 14173440480 18897920640 22677504768 28346880960 37795841280 56693761920 113387523840