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10344040608 = 2531123218517
BaseRepresentation
bin10011010001000110…
…11000100010100000
3222200220010201010010
421220203120202200
5132141033244413
64430232404520
7514222615536
oct115043304240
928626121103
1010344040608
114428a398a0
122008246740
13c8b067cb5
14701b1c156
154081badc3
hex2688d88a0

10344040608 has 144 divisors (see below), whose sum is σ = 30967132896. Its totient is φ = 2998110720.

The previous prime is 10344040601. The next prime is 10344040627. The reversal of 10344040608 is 80604044301.

It is not an unprimeable number, because it can be changed into a prime (10344040601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549366 + ... + 567882.

It is an arithmetic number, because the mean of its divisors is an integer number (215049534).

Almost surely, 210344040608 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 10344040608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483566448).

10344040608 is an abundant number, since it is smaller than the sum of its proper divisors (20623092288).

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

10344040608 is a wasteful number, since it uses less digits than its factorization.

10344040608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18587 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10344040608 its reverse (80604044301), we get a palindrome (90948084909).

The spelling of 10344040608 in words is "ten billion, three hundred forty-four million, forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 529 552 736 759 1012 1056 1058 1104 1518 1587 2024 2116 2208 3036 3174 4048 4232 5819 6072 6348 8096 8464 11638 12144 12696 16928 17457 18517 23276 24288 25392 34914 37034 46552 50784 55551 69828 74068 93104 111102 139656 148136 186208 203687 222204 279312 296272 407374 425891 444408 558624 592544 611061 814748 851782 888816 1222122 1277673 1629496 1703564 1777632 2444244 2555346 3258992 3407128 4684801 4888488 5110692 6517984 6814256 9369602 9776976 9795493 10221384 13628512 14054403 18739204 19553952 19590986 20442768 28108806 29386479 37478408 39181972 40885536 56217612 58772958 74956816 78363944 107750423 112435224 117545916 149913632 156727888 215500846 224870448 235091832 313455776 323251269 431001692 449740896 470183664 646502538 862003384 940367328 1293005076 1724006768 2586010152 3448013536 5172020304 10344040608