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114021056376 = 2333976618233
BaseRepresentation
bin110101000110000101…
…1110011111101111000
3101220022022201210202000
41222030023303331320
53332003342301001
6124214110541000
711144355662613
oct1521413637570
9356268653660
10114021056376
11443a0a062a7
121a121507760
13a9a15b17c6
14573925917a
152e7512ba86
hex1a8c2f3f78

114021056376 has 128 divisors (see below), whose sum is σ = 320513390400. Its totient is φ = 37553725440.

The previous prime is 114021056257. The next prime is 114021056393. The reversal of 114021056376 is 673650120411.

114021056376 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 2 + 10 + 5 + 637 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114021056376.

It is a congruent number.

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, 13845156 + ... + 13853388.

Almost surely, 2114021056376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114021056376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160256695200).

114021056376 is an abundant number, since it is smaller than the sum of its proper divisors (206492334024).

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

114021056376 is a wasteful number, since it uses less digits than its factorization.

114021056376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 114021056376 its reverse (673650120411), we get a palindrome (787671176787).

The spelling of 114021056376 in words is "one hundred fourteen billion, twenty-one million, fifty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 661 776 873 1164 1322 1746 1983 2328 2619 2644 3492 3966 5238 5288 5949 6984 7932 8233 10476 11898 15864 16466 17847 20952 23796 24699 32932 35694 47592 49398 64117 65864 71388 74097 98796 128234 142776 148194 192351 197592 222291 256468 296388 384702 444582 512936 577053 592776 769404 798601 889164 1154106 1538808 1597202 1731159 1778328 2308212 2395803 3194404 3462318 4616424 4791606 5442013 6388808 6924636 7187409 9583212 10884026 13849272 14374818 16326039 19166424 21562227 21768052 28749636 32652078 43124454 43536104 48978117 57499272 65304156 86248908 97956234 130608312 146934351 172497816 195912468 293868702 391824936 527875261 587737404 1055750522 1175474808 1583625783 2111501044 3167251566 4223002088 4750877349 6334503132 9501754698 12669006264 14252632047 19003509396 28505264094 38007018792 57010528188 114021056376