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114074062858116 = 223219449312
BaseRepresentation
bin11001111011111111101111…
…111111101010011110000100
3112221220101002120120111111100
4121323333233333222132010
5104422442140042424431
61042340522341540100
733012402422446014
oct3173775777523604
9487811076514440
10114074062858116
11333905a1640309
1210964398a14630
134b861a4173a9a
1420252dd6cdc44
15d2c4dc81d4e6
hex67bfeffea784

114074062858116 has 135 divisors (see below), whose sum is σ = 304435157278343. Its totient is φ = 36016082777520.

The previous prime is 114074062858099. The next prime is 114074062858117. The reversal of 114074062858116 is 611858260470411.

The square root of 114074062858116 is 10680546.

It is a perfect power (a square), and thus also a powerful number.

114074062858116 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 7 + 4 + 0 + 628 + 5 + 8 + 1 + 1 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114074062858117) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23134060171 + ... + 23134065101.

Almost surely, 2114074062858116 is an apocalyptic number.

114074062858116 is the 10680546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114074062858116

114074062858116 is an abundant number, since it is smaller than the sum of its proper divisors (190361094420227).

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

114074062858116 is an frugal number, since it uses more digits than its factorization.

114074062858116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 114074062858116 in words is "one hundred fourteen trillion, seventy-four billion, sixty-two million, eight hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 4931 6498 6859 9862 12996 13718 14793 19724 20577 27436 29586 41154 44379 59172 61731 82308 88758 93689 123462 130321 177516 187378 246924 260642 281067 374756 390963 521284 562134 781926 843201 1124268 1172889 1563852 1686402 1780091 2345778 3372804 3560182 4691556 5340273 7120364 10680546 16020819 21361092 24314761 32041638 33821729 48629522 64083276 67643458 72944283 97259044 101465187 135286916 145888566 202930374 218832849 291777132 304395561 405860748 437665698 461980459 608791122 642612851 875331396 923960918 1217582244 1285225702 1385941377 1847921836 1927838553 2570451404 2771882754 3855677106 4157824131 5543765508 5783515659 7711354212 8315648262 8777628721 11567031318 16631296524 17555257442 23134062636 26332886163 35110514884 52665772326 78998658489 105331544652 157997316978 166774945699 315994633956 333549891398 500324837097 667099782796 1000649674194 1500974511291 2001299348388 3001949022582 3168723968281 6003898045164 6337447936562 9506171904843 12674895873124 19012343809686 28518515714529 38024687619372 57037031429058 114074062858116