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114775051744 = 25173143115791
BaseRepresentation
bin110101011100100100…
…0000100110111100000
3101222020212111201221101
41222321020010313200
53340024403123434
6124421003404144
711202142562053
oct1527110046740
9358225451841
10114775051744
1144748585171
121a2b1b23654
13aa91877a02
1457ab44aa9a
152ebb417b14
hex1ab9204de0

114775051744 has 96 divisors (see below), whose sum is σ = 247561961472. Its totient is φ = 52144896000.

The previous prime is 114775051733. The next prime is 114775051771. The reversal of 114775051744 is 447150577411.

It is a junction number, because it is equal to n+sod(n) for n = 114775051694 and 114775051703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7260489 + ... + 7276279.

It is an arithmetic number, because the mean of its divisors is an integer number (2578770432).

Almost surely, 2114775051744 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 114775051744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123780980736).

114775051744 is an abundant number, since it is smaller than the sum of its proper divisors (132786909728).

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

114775051744 is a wasteful number, since it uses less digits than its factorization.

114775051744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16280 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 46.

The spelling of 114775051744 in words is "one hundred fourteen billion, seven hundred seventy-five million, fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 431 496 527 544 862 992 1054 1724 2108 3448 4216 6896 7327 8432 13361 13792 14654 15791 16864 26722 29308 31582 53444 58616 63164 106888 117232 126328 213776 227137 234464 252656 268447 427552 454274 489521 505312 536894 908548 979042 1073788 1817096 1958084 2147576 3634192 3916168 4295152 6805921 7268384 7832336 8321857 8590304 13611842 15664672 16643714 27223684 33287428 54447368 66574856 108894736 115700657 133149712 210983551 217789472 231401314 266299424 421967102 462802628 843934204 925605256 1687868408 1851210512 3375736816 3586720367 3702421024 6751473632 7173440734 14346881468 28693762936 57387525872 114775051744