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9312093120040 = 2354114593891779
BaseRepresentation
bin1000011110000010010000…
…0000001010011000101000
31012222020010210002000010021
42013200210000022120220
52210032131314320130
631445525545130224
71650530230343434
oct207404400123050
935866123060107
109312093120040
112a70266889507
1210648b5189974
13527185228219
142429c9d659c4
151123678a237a
hex8782400a628

9312093120040 has 64 divisors (see below), whose sum is σ = 21477955464000. Its totient is φ = 3631495887360.

The previous prime is 9312093120037. The next prime is 9312093120041. The reversal of 9312093120040 is 400213902139.

It is a junction number, because it is equal to n+sod(n) for n = 9312093119978 and 9312093120005.

It is not an unprimeable number, because it can be changed into a prime (9312093120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446871 + ... + 4338649.

It is an arithmetic number, because the mean of its divisors is an integer number (335593054125).

Almost surely, 29312093120040 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 9312093120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738977732000).

9312093120040 is an abundant number, since it is smaller than the sum of its proper divisors (12165862343960).

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

9312093120040 is a wasteful number, since it uses less digits than its factorization.

9312093120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893290 (or 3893286 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 9312093120040 in words is "nine trillion, three hundred twelve billion, ninety-three million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1459 1640 2918 5836 7295 11672 14590 29180 58360 59819 119638 239276 299095 478552 598190 1196380 2392760 3891779 7783558 15567116 19458895 31134232 38917790 77835580 155671160 159562939 319125878 638251756 797814695 1276503512 1595629390 3191258780 5678105561 6382517560 11356211122 22712422244 28390527805 45424844488 56781055610 113562111220 227124222440 232802328001 465604656002 931209312004 1164011640005 1862418624008 2328023280010 4656046560020 9312093120040