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114197664024 = 2334374762999
BaseRepresentation
bin110101001011010110…
…1100001000100011000
3101220202122001101220000
41222112231201010120
53332334100222044
6124243420133000
711151632061663
oct1522655410430
9356678041800
10114197664024
1144481671234
121a170697160
13a9cc068582
1457548ac6da
152e858b4d69
hex1a96b61118

114197664024 has 80 divisors (see below), whose sum is σ = 328504110000. Its totient is φ = 37037072448.

The previous prime is 114197664001. The next prime is 114197664037. The reversal of 114197664024 is 420466791411.

It is a super-2 number, since 2×1141976640242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2357524 + ... + 2405475.

It is an arithmetic number, because the mean of its divisors is an integer number (4106301375).

Almost surely, 2114197664024 is an apocalyptic number.

It is an amenable number.

114197664024 is an abundant number, since it is smaller than the sum of its proper divisors (214306445976).

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

114197664024 is a wasteful number, since it uses less digits than its factorization.

114197664024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763054 (or 4763041 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 114197664024 in words is "one hundred fourteen billion, one hundred ninety-seven million, six hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 11988 23976 4762999 9525998 14288997 19051996 28577994 38103992 42866991 57155988 85733982 114311976 128600973 171467964 176230963 257201946 342935928 352461926 385802919 514403892 528692889 704923852 771605838 1028807784 1057385778 1409847704 1543211676 1586078667 2114771556 3086423352 3172157334 4229543112 4758236001 6344314668 9516472002 12688629336 14274708003 19032944004 28549416006 38065888008 57098832012 114197664024