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2131377645840 = 24358880740191
BaseRepresentation
bin11111000001000000000…
…000011110100100010000
321112202110101001202101220
4133001000000132210100
5234410030134131330
64311050311525040
7306662345032422
oct37010000364420
97482411052356
102131377645840
11751a041306a3
122a50aa089780
13125cac98b851
1475232ccc812
153a696c6c710
hex1f04001e910

2131377645840 has 40 divisors (see below), whose sum is σ = 6607270702848. Its totient is φ = 568367372160.

The previous prime is 2131377645791. The next prime is 2131377645841. The reversal of 2131377645840 is 485467731312.

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

It is not an unprimeable number, because it can be changed into a prime (2131377645841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4440369856 + ... + 4440370335.

Almost surely, 22131377645840 is an apocalyptic number.

2131377645840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131377645840 is an abundant number, since it is smaller than the sum of its proper divisors (4475893057008).

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

2131377645840 is a wasteful number, since it uses less digits than its factorization.

2131377645840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880740207 (or 8880740201 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 2131377645840 in words is "two trillion, one hundred thirty-one billion, three hundred seventy-seven million, six hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8880740191 17761480382 26642220573 35522960764 44403700955 53284441146 71045921528 88807401910 106568882292 133211102865 142091843056 177614803820 213137764584 266422205730 355229607640 426275529168 532844411460 710459215280 1065688822920 2131377645840