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1113314185872 = 243373259112967
BaseRepresentation
bin10000001100110110101…
…100100101001010010000
310221102122210001111012000
4100030312230211022100
5121220031412421442
62211241030434000
7143301651303660
oct20146654451220
93842583044160
101113314185872
1139a176919999
1215b926802900
1380ca62a3975
143bc5585a1a0
151de5e7b4d4c
hex10336b25290

1113314185872 has 160 divisors (see below), whose sum is σ = 3653294745600. Its totient is φ = 317989348992.

The previous prime is 1113314185783. The next prime is 1113314185891. The reversal of 1113314185872 is 2785814133111.

1113314185872 is a `hidden beast` number, since 1 + 11 + 33 + 14 + 18 + 587 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9798733 + ... + 9911699.

It is an arithmetic number, because the mean of its divisors is an integer number (22833092160).

Almost surely, 21113314185872 is an apocalyptic number.

1113314185872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113314185872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826647372800).

1113314185872 is an abundant number, since it is smaller than the sum of its proper divisors (2539980559728).

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

1113314185872 is a wasteful number, since it uses less digits than its factorization.

1113314185872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116250 (or 116238 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 1113314185872 in words is "one trillion, one hundred thirteen billion, three hundred fourteen million, one hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3259 6518 9777 13036 19554 22813 26072 29331 39108 45626 52144 58662 68439 78216 87993 91252 112967 117324 136878 156432 175986 182504 205317 225934 234648 273756 338901 351972 365008 410634 451868 469296 547512 615951 677802 703944 790769 821268 903736 1016703 1095024 1231902 1355604 1407888 1581538 1642536 1807472 2033406 2372307 2463804 2711208 3050109 3163076 3285072 4066812 4744614 4927608 5422416 6100218 6326152 7116921 8133624 9489228 9855216 12200436 12652304 14233842 16267248 18978456 21350763 24400872 28467684 37956912 42701526 48801744 56935368 85403052 113870736 170806104 341612208 368159453 736318906 1104478359 1472637812 2208956718 2577116171 2945275624 3313435077 4417913436 5154232342 5890551248 6626870154 7731348513 8835826872 9940305231 10308464684 13253740308 15462697026 17671653744 19880610462 20616929368 23194045539 26507480616 30925394052 39761220924 41233858736 46388091078 53014961232 61850788104 69582136617 79522441848 92776182156 123701576208 139164273234 159044883696 185552364312 278328546468 371104728624 556657092936 1113314185872