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114745448960 = 29544822441
BaseRepresentation
bin110101011011101011…
…1001001101000000000
3101222011210210202112222
41222313113021220000
53334444313331320
6124414025110212
711201333136422
oct1526727115000
9358153722488
10114745448960
11447328a615a
121a2a4028368
13aa886b177c
1457a7542812
152eb8a1b825
hex1ab75c9a00

114745448960 has 40 divisors (see below), whose sum is σ = 275120148996. Its totient is φ = 45898178560.

The previous prime is 114745448929. The next prime is 114745448977. The reversal of 114745448960 is 69844547411.

It can be written as a sum of positive squares in 2 ways, for example, as 109682841856 + 5062607104 = 331184^2 + 71152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22408661 + ... + 22413780.

Almost surely, 2114745448960 is an apocalyptic number.

114745448960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114745448960 is an abundant number, since it is smaller than the sum of its proper divisors (160374700036).

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

114745448960 is an frugal number, since it uses more digits than its factorization.

114745448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44822464 (or 44822448 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 114745448960 in words is "one hundred fourteen billion, seven hundred forty-five million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 44822441 89644882 179289764 224112205 358579528 448224410 717159056 896448820 1434318112 1792897640 2868636224 3585795280 5737272448 7171590560 11474544896 14343181120 22949089792 28686362240 57372724480 114745448960