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2136319146440 = 235281190063981
BaseRepresentation
bin11111000101100110100…
…010110011100111001000
321120020012202100222212122
4133011212202303213020
5240000140200141230
64313224513230412
7310225660062623
oct37054642634710
97506182328778
102136319146440
1175400a512196
122a6048b62408
131265b96774bb
14755812c2dba
153a8859babe5
hex1f1668b39c8

2136319146440 has 32 divisors (see below), whose sum is σ = 4823823863160. Its totient is φ = 851486630400.

The previous prime is 2136319146439. The next prime is 2136319146463. The reversal of 2136319146440 is 446419136312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1640863645444 + 495455500996 = 1280962^2 + 703886^2 .

It is a super-2 number, since 2×21363191464402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2136319146391 and 2136319146400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95020751 + ... + 95043230.

Almost surely, 22136319146440 is an apocalyptic number.

2136319146440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136319146440 is an abundant number, since it is smaller than the sum of its proper divisors (2687504716720).

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

2136319146440 is a wasteful number, since it uses less digits than its factorization.

2136319146440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190064273 (or 190064269 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 2136319146440 in words is "two trillion, one hundred thirty-six billion, three hundred nineteen million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 2248 2810 5620 11240 190063981 380127962 760255924 950319905 1520511848 1900639810 3801279620 7602559240 53407978661 106815957322 213631914644 267039893305 427263829288 534079786610 1068159573220 2136319146440