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4093856957141 = 71925333790703
BaseRepresentation
bin111011100100101100111…
…000111100001011010101
3112111100221221010010120222
4323210230320330023111
51014033204340112031
612412405242204125
7601525406660510
oct73445470741325
915440857103528
104093856957141
111339216586746
125615004b3645
13239083a08073
14102202597d77
1571755c53e7b
hex3b92ce3c2d5

4093856957141 has 48 divisors (see below), whose sum is σ = 5046053635584. Its totient is φ = 3251897445888.

The previous prime is 4093856957101. The next prime is 4093856957161. The reversal of 4093856957141 is 1417596583904.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4093856957141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4093856957101) 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 47 ways as a sum of consecutive naturals, for example, 45089396 + ... + 45180098.

It is an arithmetic number, because the mean of its divisors is an integer number (105126117408).

Almost surely, 24093856957141 is an apocalyptic number.

It is an amenable number.

4093856957141 is a deficient number, since it is larger than the sum of its proper divisors (952196678443).

4093856957141 is a wasteful number, since it uses less digits than its factorization.

4093856957141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91138 (or 91119 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 4093856957141 in words is "four trillion, ninety-three billion, eight hundred fifty-six million, nine hundred fifty-seven thousand, one hundred forty-one".

Divisors: 1 7 19 53 133 337 361 371 1007 2359 2527 6403 7049 17861 19133 44821 90703 121657 125027 133931 339359 634921 851599 1723357 2375513 4807259 6447821 12063499 30566911 32743783 33650813 45134747 91337921 213968377 229206481 580771309 639365447 1620046283 1735420499 4065399163 11034654871 11340323981 12147943493 30780879377 77242584097 215466155639 584836708163 4093856957141