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940432688820 = 223256814776667
BaseRepresentation
bin11011010111101100010…
…10000000011010110100
310022220102101000111012200
431223312022000122310
5110402001232020240
62000010120144500
7124641540650532
oct15536612003264
93286371014180
10940432688820
113329208103a9
12132319008130
136a8b4386a51
1433735227152
15196e1ed2930
hexdaf62806b4

940432688820 has 72 divisors (see below), whose sum is σ = 2852724891744. Its totient is φ = 250775099328.

The previous prime is 940432688813. The next prime is 940432688843. The reversal of 940432688820 is 28886234049.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12228127 + ... + 12304793.

It is an arithmetic number, because the mean of its divisors is an integer number (39621179052).

Almost surely, 2940432688820 is an apocalyptic number.

940432688820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

940432688820 is an abundant number, since it is smaller than the sum of its proper divisors (1912292202924).

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

940432688820 is a wasteful number, since it uses less digits than its factorization.

940432688820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144829 (or 144824 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 940432688820 in words is "nine hundred forty billion, four hundred thirty-two million, six hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68147 76667 136294 153334 204441 230001 272588 306668 340735 383335 408882 460002 613323 681470 690003 766670 817764 920004 1022205 1150005 1226646 1362940 1380006 1533340 2044410 2300010 2453292 2760012 3066615 3450015 4088820 4600020 6133230 6900030 12266460 13800060 5224626049 10449252098 15673878147 20898504196 26123130245 31347756294 47021634441 52246260490 62695512588 78369390735 94043268882 104492520980 156738781470 188086537764 235108172205 313477562940 470216344410 940432688820