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114757240192 = 277166776831
BaseRepresentation
bin110101011100000010…
…0001000010110000000
3101222012121222211002021
41222320010020112000
53340010323141232
6124415125531224
711201535306250
oct1527004102600
9358177884067
10114757240192
114473951a081
121a2a7b73b14
13aa8ac7c72a
1457a8d31960
152eb9a9a397
hex1ab8108580

114757240192 has 64 divisors (see below), whose sum is σ = 261437783040. Its totient is φ = 49151531520.

The previous prime is 114757240183. The next prime is 114757240207. The reversal of 114757240192 is 291042757411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455217 + ... + 1532047.

It is an arithmetic number, because the mean of its divisors is an integer number (4084965360).

Almost surely, 2114757240192 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 114757240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130718891520).

114757240192 is an abundant number, since it is smaller than the sum of its proper divisors (146680542848).

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

114757240192 is an equidigital number, since it uses as much as digits as its factorization.

114757240192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78519 (or 78507 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 114757240192 in words is "one hundred fourteen billion, seven hundred fifty-seven million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1667 3334 6668 11669 13336 23338 26672 46676 53344 76831 93352 106688 153662 186704 213376 307324 373408 537817 614648 746816 1075634 1229296 1493632 2151268 2458592 4302536 4917184 8605072 9834368 17210144 34420288 68840576 128077277 256154554 512309108 896540939 1024618216 1793081878 2049236432 3586163756 4098472864 7172327512 8196945728 14344655024 16393891456 28689310048 57378620096 114757240192