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114053607720 = 233251324370429
BaseRepresentation
bin110101000111000011…
…1111111000100101000
3101220101120222120210100
41222032013333010220
53332040210421340
6124221232345400
711145232445523
oct1521607770450
9356346876710
10114053607720
1144408319638
121a1303a5260
13a9a826ab60
14573d6cdbba
152e77e0b830
hex1a8e1ff128

114053607720 has 96 divisors (see below), whose sum is σ = 399187643400. Its totient is φ = 28074733056.

The previous prime is 114053607719. The next prime is 114053607763. The reversal of 114053607720 is 27706350411.

It is a happy number.

114053607720 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 3 + 607 + 7 + 2 + 0 = 666.

114053607720 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 4 ways, for example, as 96443786916 + 17609820804 = 310554^2 + 132702^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 12180535 + ... + 12189894.

Almost surely, 2114053607720 is an apocalyptic number.

114053607720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114053607720 is an abundant number, since it is smaller than the sum of its proper divisors (285134035680).

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

114053607720 is a wasteful number, since it uses less digits than its factorization.

114053607720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24370459 (or 24370452 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 114053607720 in words is "one hundred fourteen billion, fifty-three million, six hundred seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 24370429 48740858 73111287 97481716 121852145 146222574 194963432 219333861 243704290 292445148 316815577 365556435 438667722 487408580 584890296 633631154 731112870 877335444 950446731 974817160 1096669305 1267262308 1462225740 1584077885 1754670888 1900893462 2193338610 2534524616 2851340193 2924451480 3168155770 3801786924 4386677220 4752233655 5702680386 6336311540 7603573848 8773354440 9504467310 11405360772 12672623080 14256700965 19008934620 22810721544 28513401930 38017869240 57026803860 114053607720