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40164446104 = 2319717435009
BaseRepresentation
bin100101011001111111…
…001100111110011000
310211200010111021010221
4211121333030332120
51124224044233404
630241251245424
72621212105336
oct453177147630
9124603437127
1040164446104
1116040867912
12794aba9874
133a3116b953
141d30376b56
1510a116b954
hex959fccf98

40164446104 has 64 divisors (see below), whose sum is σ = 80512704000. Its totient is φ = 18728317440.

The previous prime is 40164446051. The next prime is 40164446111.

40164446104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401644461042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40164446104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8015952 + ... + 8020960.

It is an arithmetic number, because the mean of its divisors is an integer number (1258011000).

Almost surely, 240164446104 is an apocalyptic number.

It is an amenable number.

40164446104 is an abundant number, since it is smaller than the sum of its proper divisors (40348257896).

40164446104 is a wasteful number, since it uses less digits than its factorization.

40164446104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 40164446104 in words is "forty billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred four".

Divisors: 1 2 4 8 19 38 71 76 142 152 284 568 743 1349 1486 2698 2972 5009 5396 5944 10018 10792 14117 20036 28234 40072 52753 56468 95171 105506 112936 190342 211012 355639 380684 422024 711278 761368 1002307 1422556 2004614 2845112 3721687 4009228 6757141 7443374 8018456 13514282 14886748 27028564 29773496 54057128 70712053 141424106 264239777 282848212 528479554 565696424 1056959108 2113918216 5020555763 10041111526 20082223052 40164446104