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332431334040 = 2335131032068903
BaseRepresentation
bin1001101011001100111…
…00111001101010011000
31011210001201012111102010
410311212130321222120
520421304410142130
6412414501105520
733005646500541
oct4654634715230
91153051174363
10332431334040
11118a8a904603
12545166b82a0
132546ab308b0
14121384454c8
1589a999d0b0
hex4d66739a98

332431334040 has 128 divisors (see below), whose sum is σ = 1084436720640. Its totient is φ = 81034753536.

The previous prime is 332431334023. The next prime is 332431334093. The reversal of 332431334040 is 40433134233.

It is a super-2 number, since 2×3324313340402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332431333989 and 332431334007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873772 + ... + 1195131.

It is an arithmetic number, because the mean of its divisors is an integer number (8472161880).

Almost surely, 2332431334040 is an apocalyptic number.

332431334040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332431334040 is an abundant number, since it is smaller than the sum of its proper divisors (752005386600).

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

332431334040 is a wasteful number, since it uses less digits than its factorization.

332431334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069033 (or 2069029 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 332431334040 its reverse (40433134233), we get a palindrome (372864468273).

The spelling of 332431334040 in words is "three hundred thirty-two billion, four hundred thirty-one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 103 104 120 130 156 195 206 260 309 312 390 412 515 520 618 780 824 1030 1236 1339 1545 1560 2060 2472 2678 3090 4017 4120 5356 6180 6695 8034 10712 12360 13390 16068 20085 26780 32136 40170 53560 80340 160680 2068903 4137806 6206709 8275612 10344515 12413418 16551224 20689030 24826836 26895739 31033545 41378060 49653672 53791478 62067090 80687217 82756120 107582956 124134180 134478695 161374434 213097009 215165912 248268360 268957390 322748868 403436085 426194018 537914780 639291027 645497736 806872170 852388036 1065485045 1075829560 1278582054 1613744340 1704776072 2130970090 2557164108 2770261117 3196455135 3227488680 4261940180 5114328216 5540522234 6392910270 8310783351 8523880360 11081044468 12785820540 13851305585 16621566702 22162088936 25571641080 27702611170 33243133404 41553916755 55405222340 66486266808 83107833510 110810444680 166215667020 332431334040