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40744000950 = 23522910192737
BaseRepresentation
bin100101111100100010…
…000001110110110110
310220011112000200221020
4211330202001312312
51131420431012300
630414553202010
72641450202532
oct457442016666
9126145020836
1040744000950
1116308a20a64
127a91100306
133ac4259603
141d8731abc2
1510d6e9b8a0
hex97c881db6

40744000950 has 96 divisors (see below), whose sum is σ = 105565520160. Its totient is φ = 10386432000.

The previous prime is 40744000949. The next prime is 40744000967. The reversal of 40744000950 is 5900044704.

It is a happy number.

40744000950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407440009502 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392982 + ... + 485718.

It is an arithmetic number, because the mean of its divisors is an integer number (1099640835).

Almost surely, 240744000950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40744000950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52782760080).

40744000950 is an abundant number, since it is smaller than the sum of its proper divisors (64821519210).

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

40744000950 is a wasteful number, since it uses less digits than its factorization.

40744000950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92882 (or 92877 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 40744000950 in words is "forty billion, seven hundred forty-four million, nine hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 101 145 150 174 202 290 303 435 505 606 725 870 1010 1450 1515 2175 2525 2929 3030 4350 5050 5858 7575 8787 14645 15150 17574 29290 43935 73225 87870 92737 146450 185474 219675 278211 439350 463685 556422 927370 1391055 2318425 2689373 2782110 4636850 5378746 6955275 8068119 9366437 13446865 13910550 16136238 18732874 26893730 28099311 40340595 46832185 56198622 67234325 80681190 93664370 134468650 140496555 201702975 234160925 271626673 280993110 403405950 468321850 543253346 702482775 814880019 1358133365 1404965550 1629760038 2716266730 4074400095 6790666825 8148800190 13581333650 20372000475 40744000950