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40430131324 = 221137411095557
BaseRepresentation
bin100101101001110100…
…101101100001111100
310212100122102110202021
4211221310231201330
51130300103200244
630323502005524
72630616305662
oct455164554174
9125318373667
1040430131324
1116167834080
127a03b768a4
133a7421383b
141d57776c32
1510b964d284
hex969d2d87c

40430131324 has 96 divisors (see below), whose sum is σ = 81964048320. Its totient is φ = 17281382400.

The previous prime is 40430131309. The next prime is 40430131327. The reversal of 40430131324 is 42313103404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430131327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7272754 + ... + 7278310.

It is an arithmetic number, because the mean of its divisors is an integer number (853792170).

Almost surely, 240430131324 is an apocalyptic number.

40430131324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40430131324 is an abundant number, since it is smaller than the sum of its proper divisors (41533916996).

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

40430131324 is a wasteful number, since it uses less digits than its factorization.

40430131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 40430131324 its reverse (42313103404), we get a palindrome (82743234728).

The spelling of 40430131324 in words is "forty billion, four hundred thirty million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 37 41 44 74 82 109 148 164 218 407 436 451 814 902 1199 1517 1628 1804 2398 3034 4033 4469 4796 5557 6068 8066 8938 11114 16132 16687 17876 22228 33374 44363 49159 61127 66748 88726 98318 122254 165353 177452 196636 205609 227837 244508 330706 411218 455674 605713 661412 822436 911348 1211426 1818883 2261699 2422852 2506207 3637766 4523398 5012414 6662843 7275532 8429969 9046796 10024828 13325686 16859938 22411381 24834233 26651372 33719876 44822762 49668466 89645524 92729659 99336932 185459318 246525191 273176563 370918636 493050382 546353126 918866621 986100764 1092706252 1837733242 3675466484 10107532831 20215065662 40430131324