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940115686140 = 223255222864923
BaseRepresentation
bin11011010111000110100…
…00101111001011111100
310022212121021112002021200
431223203100233023330
5110400324103424030
61555514433455500
7124630641324501
oct15534320571374
93285537462250
10940115686140
11332778883614
1213224aa11590
136a8637b4bb7
14337050a94a8
15196c4265d60
hexdae342f2fc

940115686140 has 36 divisors (see below), whose sum is σ = 2851684248504. Its totient is φ = 250697516256.

The previous prime is 940115686123. The next prime is 940115686187. The reversal of 940115686140 is 41686511049.

940115686140 is a `hidden beast` number, since 9 + 40 + 1 + 1 + 568 + 6 + 1 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2611432282 + ... + 2611432641.

Almost surely, 2940115686140 is an apocalyptic number.

940115686140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

940115686140 is an abundant number, since it is smaller than the sum of its proper divisors (1911568562364).

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

940115686140 is a wasteful number, since it uses less digits than its factorization.

940115686140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222864938 (or 5222864933 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 940115686140 in words is "nine hundred forty billion, one hundred fifteen million, six hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5222864923 10445729846 15668594769 20891459692 26114324615 31337189538 47005784307 52228649230 62674379076 78342973845 94011568614 104457298460 156685947690 188023137228 235028921535 313371895380 470057843070 940115686140