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40334020104320 = 275316863296221
BaseRepresentation
bin10010010101110111111101…
…11100001101000010000000
312021210220011012200101211022
421022323332330031002000
520241313033121314240
6221441105410205012
711332015422063605
oct1112737674150200
9167726135611738
1040334020104320
111194061a930268
124635005883768
1319676355cb8c7
149d62699306ac
1549e2a8deb9b5
hex24aefef0d080

40334020104320 has 128 divisors (see below), whose sum is σ = 99548791879680. Its totient is φ = 15610841395200.

The previous prime is 40334020104281. The next prime is 40334020104431. The reversal of 40334020104320 is 2340102043304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 40334020104320.

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, 136013810 + ... + 136310030.

It is an arithmetic number, because the mean of its divisors is an integer number (777724936560).

Almost surely, 240334020104320 is an apocalyptic number.

40334020104320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40334020104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49774395939840).

40334020104320 is an abundant number, since it is smaller than the sum of its proper divisors (59214771775360).

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

40334020104320 is a wasteful number, since it uses less digits than its factorization.

40334020104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303134 (or 303122 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 40334020104320 its reverse (2340102043304), we get a palindrome (42674122147624).

The spelling of 40334020104320 in words is "forty trillion, three hundred thirty-four billion, twenty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 6863 9920 13726 19840 27452 34315 54904 68630 109808 137260 212753 219616 274520 296221 425506 439232 549040 592442 851012 878464 1063765 1098080 1184884 1481105 1702024 2127530 2196160 2369768 2962210 3404048 4255060 4392320 4739536 5924420 6808096 8510120 9182851 9479072 11848840 13616192 17020240 18365702 18958144 23697680 27232384 34040480 36731404 37916288 45914255 47395360 68080960 73462808 91828510 94790720 136161920 146925616 183657020 189581440 293851232 367314040 587702464 734628080 1175404928 1469256160 2032964723 2938512320 4065929446 5877024640 8131858892 10164823615 16263717784 20329647230 32527435568 40659294460 63021906413 65054871136 81318588920 126043812826 130109742272 162637177840 252087625652 260219484544 315109532065 325274355680 504175251304 630219064130 650548711360 1008350502608 1260438128260 1301097422720 2016701005216 2520876256520 4033402010432 5041752513040 8066804020864 10083505026080 20167010052160 40334020104320