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114257426008 = 23112414761253
BaseRepresentation
bin110101001101001000…
…1011111011001011000
3101220220210111121220211
41222122101133121120
53332444400113013
6124253353100504
711153256045115
oct1523221373130
9356823447824
10114257426008
114450237a300
121a1886b7734
13aa0b5610ab
14575c7c790c
152e8ac6c23d
hex1a9a45f658

114257426008 has 96 divisors (see below), whose sum is σ = 246358687680. Its totient is φ = 49589619200.

The previous prime is 114257425993. The next prime is 114257426011. The reversal of 114257426008 is 800624752411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834710 + ... + 1895962.

It is an arithmetic number, because the mean of its divisors is an integer number (2566236330).

Almost surely, 2114257426008 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 114257426008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123179343840).

114257426008 is an abundant number, since it is smaller than the sum of its proper divisors (132101261672).

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

114257426008 is a wasteful number, since it uses less digits than its factorization.

114257426008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61369 (or 61354 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 114257426008 in words is "one hundred fourteen billion, two hundred fifty-seven million, four hundred twenty-six thousand, eight".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 121 164 188 242 328 376 451 484 517 902 968 1034 1804 1927 2068 3608 3854 4136 4961 5687 7708 9922 11374 15416 19844 21197 22748 39688 42394 45496 61253 84788 122506 169576 233167 245012 466334 490024 673783 932668 1347566 1865336 2511373 2695132 2878891 5022746 5390264 5757782 7411613 10045492 11515564 14823226 20090984 23031128 27625103 29646452 31667801 55250206 59292904 63335602 110500412 118034531 126671204 221000824 236069062 253342408 303876133 348345811 472138124 607752266 696691622 944276248 1215504532 1298379841 1393383244 2431009064 2596759682 2786766488 5193519364 10387038728 14282178251 28564356502 57128713004 114257426008