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114416494080 = 293572128283
BaseRepresentation
bin110101010001111000…
…0010010011000000000
3101221022212211010021220
41222203300102120000
53333311110302310
6124321234315040
711160230103330
oct1524360223000
9357285733256
10114416494080
1144584145519
121a211a28a80
13aa354b6605
1457759930c0
152e99bdd670
hex1aa3c12600

114416494080 has 160 divisors (see below), whose sum is σ = 418029030144. Its totient is φ = 26152329216.

The previous prime is 114416494043. The next prime is 114416494099. The reversal of 114416494080 is 80494614411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1144164940802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010382 + ... + 1117901.

Almost surely, 2114416494080 is an apocalyptic number.

114416494080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114416494080 is an abundant number, since it is smaller than the sum of its proper divisors (303612536064).

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

114416494080 is an equidigital number, since it uses as much as digits as its factorization.

114416494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128316 (or 2128300 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 114416494080 in words is "one hundred fourteen billion, four hundred sixteen million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 2128283 4256566 6384849 8513132 10641415 12769698 14897981 17026264 21282830 25539396 29795962 31924245 34052528 42565660 44693943 51078792 59591924 63848490 68105056 74489905 85131320 89387886 102157584 119183848 127696980 136210112 148979810 170262640 178775772 204315168 223469715 238367696 255393960 272420224 297959620 340525280 357551544 408630336 446939430 476735392 510787920 544840448 595919240 681050560 715103088 817260672 893878860 953470784 1021575840 1089680896 1191838480 1362101120 1430206176 1634521344 1787757720 1906941568 2043151680 2383676960 2724202240 2860412352 3269042688 3575515440 3813883136 4086303360 4767353920 5448404480 5720824704 7151030880 7627766272 8172606720 9534707840 11441649408 14302061760 16345213440 19069415680 22883298816 28604123520 38138831360 57208247040 114416494080