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114007137556 = 221337671515857
BaseRepresentation
bin110101000101101011…
…0101101110100010100
3101220021100112122201011
41222023112231310110
53331441311400211
6124212452342004
711144126452144
oct1521326556424
9356240478634
10114007137556
1144394069944
121a118914904
13a99b74a310
145737474924
152e73ccc921
hex1a8b5add14

114007137556 has 96 divisors (see below), whose sum is σ = 225481824512. Its totient is φ = 50089881600.

The previous prime is 114007137527. The next prime is 114007137571. The reversal of 114007137556 is 655731700411.

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 31 ways as a sum of consecutive naturals, for example, 19462180 + ... + 19468036.

Almost surely, 2114007137556 is an apocalyptic number.

It is an amenable number.

114007137556 is a deficient number, since it is larger than the sum of its proper divisors (111474686956).

114007137556 is a wasteful number, since it uses less digits than its factorization.

114007137556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

Adding to 114007137556 its reverse (655731700411), we get a palindrome (769738837967).

The spelling of 114007137556 in words is "one hundred fourteen billion, seven million, one hundred thirty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 13 26 37 52 67 74 134 148 151 268 302 481 604 871 962 1742 1924 1963 2479 3484 3926 4958 5587 5857 7852 9916 10117 11174 11714 20234 22348 23428 32227 40468 64454 72631 76141 128908 131521 145262 152282 216709 263042 290524 304564 374329 392419 433418 526084 748658 784838 866836 884407 1497316 1569676 1768814 2817217 3537628 4866277 5101447 5634434 9732554 10202894 11268868 11497291 14519503 19465108 20405788 22994582 29039006 32723059 45989164 58078012 59255269 65446118 118510538 130892236 188753539 237021076 377507078 425399767 755014156 770318497 850799534 1540636994 1701599068 2192444953 3081273988 4384889906 8769779812 28501784389 57003568778 114007137556