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113534524051344 = 24331122171995027
BaseRepresentation
bin11001110100001001010000…
…111110011100111110010000
3112212222210110012010021221000
4121310021100332130332100
5104340122201124120334
61041245012412502000
732625412226324244
oct3164112076347620
9485883405107830
10113534524051344
11331a27a2a96100
121089790247a900
134b4734b68c176
142007159272424
15d1d460953299
hex674250f9cf90

113534524051344 has 120 divisors (see below), whose sum is σ = 358205420017760. Its totient is φ = 34404401211840.

The previous prime is 113534524051343. The next prime is 113534524051441. The reversal of 113534524051344 is 443150425435311.

113534524051344 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 4 + 52 + 40 + 513 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113534524051344.

It is not an unprimeable number, because it can be changed into a prime (113534524051343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085945242 + ... + 1086049785.

Almost surely, 2113534524051344 is an apocalyptic number.

It is an amenable number.

113534524051344 is an abundant number, since it is smaller than the sum of its proper divisors (244670895966416).

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

113534524051344 is a wasteful number, since it uses less digits than its factorization.

113534524051344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171995066 (or 2171995043 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 113534524051344 its reverse (443150425435311), we get a palindrome (556684949486655).

The spelling of 113534524051344 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-four million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 26136 52272 2171995027 4343990054 6515985081 8687980108 13031970162 17375960216 19547955243 23891945297 26063940324 34751920432 39095910486 47783890594 52127880648 58643865729 71675835891 78191820972 95567781188 104255761296 117287731458 143351671782 156383641944 191135562376 215027507673 234575462916 262811398267 286703343564 312767283888 382271124752 430055015346 469150925832 525622796534 573406687128 645082523019 788434194801 860110030692 938301851664 1051245593068 1146813374256 1290165046038 1576868389602 1720220061384 2102491186136 2365302584403 2580330092076 3153736779204 3440440122768 4204982372272 4730605168806 5160660184152 6307473558408 7095907753209 9461210337612 10321320368304 12614947116816 14191815506418 18922420675224 28383631012836 37844841350448 56767262025672 113534524051344