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40264406141 = 313783577733
BaseRepresentation
bin100101011111111100…
…100001010001111101
310211221002120202112112
4211133330201101331
51124430141444031
630255221543405
72623534543121
oct453774412175
9124832522475
1040264406141
1116092231313
127978574b65
133a48a9a1bb
141d3d757581
1510a9d1462b
hex95ff2147d

40264406141 has 32 divisors (see below), whose sum is σ = 43334796288. Its totient is φ = 37339729920.

The previous prime is 40264406131. The next prime is 40264406173. The reversal of 40264406141 is 14160446204.

It is a cyclic number.

It is not a de Polignac number, because 40264406141 - 210 = 40264405117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40264406098 and 40264406107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40264406131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54930611 + ... + 54931343.

It is an arithmetic number, because the mean of its divisors is an integer number (1354212384).

Almost surely, 240264406141 is an apocalyptic number.

It is an amenable number.

40264406141 is a deficient number, since it is larger than the sum of its proper divisors (3070390147).

40264406141 is a wasteful number, since it uses less digits than its factorization.

40264406141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461.

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 40264406141 in words is "forty billion, two hundred sixty-four million, four hundred six thousand, one hundred forty-one".

Divisors: 1 31 37 83 577 733 1147 2573 3071 17887 21349 22723 27121 47891 60839 95201 422941 661819 840751 1484621 1771967 1886009 2251043 13111171 15648817 35104103 54930977 69782333 485113327 1088227193 1298851811 40264406141