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2140862604144 = 2431139191034617
BaseRepresentation
bin11111001001110101010…
…110101110001101110000
321120122221101200120010220
4133021311112232031300
5240033441311313034
64315255415253040
7310446366612165
oct37116526561560
97518841616126
102140862604144
11755a31145210
122a6ab667a180
13126b61a58604
14758928a206c
153aa4e7e0749
hex1f2755ae370

2140862604144 has 80 divisors (see below), whose sum is σ = 6034885409280. Its totient is φ = 648580078080.

The previous prime is 2140862604143. The next prime is 2140862604163. The reversal of 2140862604144 is 4414062680412.

It is a junction number, because it is equal to n+sod(n) for n = 2140862604096 and 2140862604105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140862604143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1551924 + ... + 2586540.

It is an arithmetic number, because the mean of its divisors is an integer number (75436067616).

Almost surely, 22140862604144 is an apocalyptic number.

2140862604144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2140862604144 is an abundant number, since it is smaller than the sum of its proper divisors (3894022805136).

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

2140862604144 is a wasteful number, since it uses less digits than its factorization.

2140862604144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038558 (or 1038552 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 2140862604144 in words is "two trillion, one hundred forty billion, eight hundred sixty-two million, six hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3919 7838 11757 15676 23514 31352 43109 47028 62704 86218 94056 129327 172436 188112 258654 344872 517308 689744 1034616 1034617 2069232 2069234 3103851 4138468 6207702 8276936 11380787 12415404 16553872 22761574 24830808 34142361 45523148 49661616 68284722 91046296 136569444 182092592 273138888 546277776 4054664023 8109328046 12163992069 16218656092 24327984138 32437312184 44601304253 48655968276 64874624368 89202608506 97311936552 133803912759 178405217012 194623873104 267607825518 356810434024 535215651036 713620868048 1070431302072 2140862604144