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114840949248 = 2932137181913
BaseRepresentation
bin110101011110100001…
…1011101001000000000
3101222102110111200022200
41222331003131020000
53340143240333443
6124431320033200
711203602651054
oct1527503351000
9358373450280
10114840949248
11447817a3a13
121a310002800
13aaa240b10c
1457b60c1c64
152ec20d2dd3
hex1abd0dd200

114840949248 has 120 divisors (see below), whose sum is σ = 333859851468. Its totient is φ = 38000689152.

The previous prime is 114840949231. The next prime is 114840949277. The reversal of 114840949248 is 842949048411.

114840949248 is a `hidden beast` number, since 1 + 148 + 4 + 0 + 9 + 492 + 4 + 8 = 666.

114840949248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111000916224 + 3840033024 = 333168^2 + 61968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114840949194 and 114840949203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540340 + ... + 722252.

Almost surely, 2114840949248 is an apocalyptic number.

114840949248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114840949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166929925734).

114840949248 is an abundant number, since it is smaller than the sum of its proper divisors (219018902220).

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

114840949248 is a wasteful number, since it uses less digits than its factorization.

114840949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182074 (or 182055 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 114840949248 in words is "one hundred fourteen billion, eight hundred forty million, nine hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1096 1152 1233 1536 1644 2192 2304 2466 3288 4384 4608 4932 6576 8768 9864 13152 17536 19728 26304 35072 39456 52608 70144 78912 105216 157824 181913 210432 315648 363826 545739 631296 727652 1091478 1455304 1637217 2182956 2910608 3274434 4365912 5821216 6548868 8731824 11642432 13097736 17463648 23284864 24922081 26195472 34927296 46569728 49844162 52390944 69854592 74766243 93139456 99688324 104781888 139709184 149532486 199376648 209563776 224298729 279418368 299064972 398753296 419127552 448597458 598129944 797506592 838255104 897194916 1196259888 1595013184 1794389832 2392519776 3190026368 3588779664 4785039552 6380052736 7177559328 9570079104 12760105472 14355118656 19140158208 28710237312 38280316416 57420474624 114840949248