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2940434535264 = 253312442140459
BaseRepresentation
bin101010110010011111100…
…011100101001101100000
3101102002202221100011000120
4222302133203211031200
5341134002220112024
610130452244520240
7422303465106042
oct52623743451540
911362687304016
102940434535264
11a34038702476
123b5a616b0080
13184388116695
14a2464037a92
155174a227479
hex2ac9f8e5360

2940434535264 has 96 divisors (see below), whose sum is σ = 7968152263680. Its totient is φ = 948464985600.

The previous prime is 2940434535253. The next prime is 2940434535323. The reversal of 2940434535264 is 4625354340492.

2940434535264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72656667 + ... + 72697125.

It is an arithmetic number, because the mean of its divisors is an integer number (83001586080).

Almost surely, 22940434535264 is an apocalyptic number.

2940434535264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2940434535264 is an abundant number, since it is smaller than the sum of its proper divisors (5027717728416).

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

2940434535264 is a wasteful number, since it uses less digits than its factorization.

2940434535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64924 (or 64916 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 2940434535264 in words is "two trillion, nine hundred forty billion, four hundred thirty-four million, five hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 24421 40459 48842 73263 80918 97684 121377 146526 161836 195368 242754 293052 323672 390736 485508 586104 647344 757051 781472 971016 1172208 1254229 1294688 1514102 1942032 2271153 2344416 2508458 3028204 3762687 3884064 4542306 5016916 6056408 7525374 9084612 10033832 12112816 15050748 18169224 20067664 24225632 30101496 36338448 40135328 60202992 72676896 120405984 988049239 1976098478 2964147717 3952196956 5928295434 7904393912 11856590868 15808787824 23713181736 30629526409 31617575648 47426363472 61259052818 91888579227 94852726944 122518105636 183777158454 245036211272 367554316908 490072422544 735108633816 980144845088 1470217267632 2940434535264