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114977269840 = 2451437215873
BaseRepresentation
bin110101100010100101…
…1011110100001010000
3101222202222000111000111
41223011023132201100
53340433140113330
6124453025531104
711210146445146
oct1530513364120
9358688014014
10114977269840
1144841742664
121a3497a3a94
13aac472a7a4
1457ca249596
152ece05e32a
hex1ac52de850

114977269840 has 20 divisors (see below), whose sum is σ = 267322152564. Its totient is φ = 45990907904.

The previous prime is 114977269837. The next prime is 114977269931. The reversal of 114977269840 is 48962779411.

114977269840 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 40227522624 + 74749747216 = 200568^2 + 273404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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, 718607857 + ... + 718608016.

Almost surely, 2114977269840 is an apocalyptic number.

114977269840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114977269840 is an abundant number, since it is smaller than the sum of its proper divisors (152344882724).

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

114977269840 is a wasteful number, since it uses less digits than its factorization.

114977269840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437215886 (or 1437215880 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 114977269840 in words is "one hundred fourteen billion, nine hundred seventy-seven million, two hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1437215873 2874431746 5748863492 7186079365 11497726984 14372158730 22995453968 28744317460 57488634920 114977269840