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431327540364 = 223713157767933
BaseRepresentation
bin1100100011011010001…
…11111111010010001100
31112020022221212022101120
412101231013333102030
524031324322242424
6530052114040540
743106461412640
oct6215507772214
91466287768346
10431327540364
11156a1a174126
126b716879150
133189ba61986
1416c3aa5ac20
15b346d52a79
hex646d1ff48c

431327540364 has 96 divisors (see below), whose sum is σ = 1161012711936. Its totient is φ = 122081955840.

The previous prime is 431327540363. The next prime is 431327540389. The reversal of 431327540364 is 463045723134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (431327540363) 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, 6315342 + ... + 6383274.

It is an arithmetic number, because the mean of its divisors is an integer number (12093882416).

Almost surely, 2431327540364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431327540364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580506355968).

431327540364 is an abundant number, since it is smaller than the sum of its proper divisors (729685171572).

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

431327540364 is a wasteful number, since it uses less digits than its factorization.

431327540364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68655 (or 68653 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 431327540364 in words is "four hundred thirty-one billion, three hundred twenty-seven million, five hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 577 786 917 1154 1572 1731 1834 2308 2751 3462 3668 4039 5502 6924 8078 11004 12117 16156 24234 48468 67933 75587 135866 151174 203799 226761 271732 302348 407598 453522 475531 529109 815196 907044 951062 1058218 1426593 1587327 1902124 2116436 2853186 3174654 5706372 6349308 8899223 17798446 26697669 35596892 39197341 53395338 62294561 78394682 106790676 117592023 124589122 156789364 186883683 235184046 249178244 274381387 373767366 470368092 548762774 747534732 823144161 1097525548 1646288322 3292576644 5134851671 10269703342 15404555013 20539406684 30809110026 35943961697 61618220052 71887923394 107831885091 143775846788 215663770182 431327540364