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40080381138912 = 253499836681303
BaseRepresentation
bin10010001110011111100001…
…11000010101011111100000
312020220122110200012221121110
421013033300320111133200
520223134110032421122
6221124401203023320
711304466131333342
oct1107176070253740
9166818420187543
1040080381138912
1111852aa3294494
1245b3a1a66ab40
131949743668c5a
149c7c87b09292
154978b18c590c
hex2473f0e157e0

40080381138912 has 48 divisors (see below), whose sum is σ = 105421844304000. Its totient is φ = 13333353228672.

The previous prime is 40080381138911. The next prime is 40080381138943. The reversal of 40080381138912 is 21983118308004.

40080381138912 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40080381138911) 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 7 ways as a sum of consecutive naturals, for example, 418292748 + ... + 418388555.

It is an arithmetic number, because the mean of its divisors is an integer number (2196288423000).

Almost surely, 240080381138912 is an apocalyptic number.

It is an amenable number.

40080381138912 is an abundant number, since it is smaller than the sum of its proper divisors (65341463165088).

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

40080381138912 is a wasteful number, since it uses less digits than its factorization.

40080381138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836681815 (or 836681807 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 40080381138912 in words is "forty trillion, eighty billion, three hundred eighty-one million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 499 998 1497 1996 2994 3992 5988 7984 11976 15968 23952 47904 836681303 1673362606 2510043909 3346725212 5020087818 6693450424 10040175636 13386900848 20080351272 26773801696 40160702544 80321405088 417503970197 835007940394 1252511910591 1670015880788 2505023821182 3340031761576 5010047642364 6680063523152 10020095284728 13360127046304 20040190569456 40080381138912