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332112023132994 = 23313966714893857
BaseRepresentation
bin100101110000011011101101…
…1001010100001101101000010
31121112220121011220202222102000
41023200313123022201231002
5322012310410410223434
63134202053541004430
7126645205351454616
oct11340673312415502
91545817156688360
10332112023132994
1196903a10a09205
12312b96506b3716
131134104c78bb30
145c02444413346
15285dee113eb99
hex12e0ddb2a1b42

332112023132994 has 64 divisors (see below), whose sum is σ = 794806388167680. Its totient is φ = 102187236856320.

The previous prime is 332112023132993. The next prime is 332112023133071. The reversal of 332112023132994 is 499231320211233.

332112023132994 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 1 + 2 + 0 + 231 + 329 + 94 = 666.

It is a super-2 number, since 2×3321120231329942 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332112023132993) 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 31 ways as a sum of consecutive naturals, for example, 65416114 + ... + 70309970.

It is an arithmetic number, because the mean of its divisors is an integer number (12418849815120).

Almost surely, 2332112023132994 is an apocalyptic number.

332112023132994 is an abundant number, since it is smaller than the sum of its proper divisors (462694365034686).

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

332112023132994 is a wasteful number, since it uses less digits than its factorization.

332112023132994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990552 (or 4990546 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 332112023132994 in words is "three hundred thirty-two trillion, one hundred twelve billion, twenty-three million, one hundred thirty-two thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 96671 193342 290013 580026 870039 1256723 1740078 2513446 2610117 3770169 4893857 5220234 7540338 9787714 11310507 14681571 22621014 29363142 33931521 44044713 63620141 67863042 88089426 127240282 132134139 190860423 264268278 381720846 572581269 1145162538 1717743807 3435487614 473094050047 946188100094 1419282150141 2838564300282 4257846450423 6150222650611 8515692900846 12300445301222 12773539351269 18450667951833 25547078702538 36901335903666 55352003855499 110704007710998 166056011566497 332112023132994