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40840631443104 = 2535931192311819
BaseRepresentation
bin10010100100100111100110…
…10101000101111010100000
312100121022210211021220220020
421102103303111011322200
520323113103122134404
6222505532125313440
711413431630314403
oct1122236325057240
9170538724256806
1040840631443104
1112016461811409
1246b7230a05880
1319a334138105c
14a129a8c1bd3a
154ac55a174ed9
hex2524f3545ea0

40840631443104 has 96 divisors (see below), whose sum is σ = 109058721408000. Its totient is φ = 13378509260544.

The previous prime is 40840631443021. The next prime is 40840631443111. The reversal of 40840631443104 is 40134413604804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×408406314431042 (a number of 28 digits) contains 22 as substring.

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, 16510107 + ... + 18821925.

It is an arithmetic number, because the mean of its divisors is an integer number (1136028348000).

Almost surely, 240840631443104 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 40840631443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54529360704000).

40840631443104 is an abundant number, since it is smaller than the sum of its proper divisors (68218089964896).

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

40840631443104 is a wasteful number, since it uses less digits than its factorization.

40840631443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315010 (or 2315002 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 40840631443104 in words is "forty trillion, eight hundred forty billion, six hundred thirty-one million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3119 5664 6238 9357 12476 18714 24952 37428 49904 74856 99808 149712 184021 299424 368042 552063 736084 1104126 1472168 2208252 2311819 2944336 4416504 4623638 5888672 6935457 8833008 9247276 13870914 17666016 18494552 27741828 36989104 55483656 73978208 110967312 136397321 221934624 272794642 409191963 545589284 818383926 1091178568 1636767852 2182357136 3273535704 4364714272 6547071408 7210563461 13094142816 14421126922 21631690383 28842253844 43263380766 57684507688 86526761532 115369015376 173053523064 230738030752 346107046128 425423244199 692214092256 850846488398 1276269732597 1701692976796 2552539465194 3403385953592 5105078930388 6806771907184 10210157860776 13613543814368 20420315721552 40840631443104