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114665561040 = 2435477773171
BaseRepresentation
bin110101011001010011…
…0011001101111010000
3101221222020111000221010
41222302212121233100
53334313340423130
6124402052530520
711166343121142
oct1526246315720
9357866430833
10114665561040
11446a17a1188
121a281320a40
13aa74c90404
14579aaa8c92
152eb19db0b0
hex1ab2999bd0

114665561040 has 40 divisors (see below), whose sum is σ = 355463239968. Its totient is φ = 30577482880.

The previous prime is 114665561033. The next prime is 114665561057. The reversal of 114665561040 is 40165566411.

It is a happy number.

114665561040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114665561040.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 238886346 + ... + 238886825.

Almost surely, 2114665561040 is an apocalyptic number.

114665561040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114665561040 is an abundant number, since it is smaller than the sum of its proper divisors (240797678928).

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

114665561040 is a wasteful number, since it uses less digits than its factorization.

114665561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477773187 (or 477773181 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 114665561040 in words is "one hundred fourteen billion, six hundred sixty-five million, five hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 477773171 955546342 1433319513 1911092684 2388865855 2866639026 3822185368 4777731710 5733278052 7166597565 7644370736 9555463420 11466556104 14333195130 19110926840 22933112208 28666390260 38221853680 57332780520 114665561040