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2240329841376 = 253112229842209
BaseRepresentation
bin100000100110011110000…
…100000111101011100000
321221011200102211202021020
4200212132010013223200
5243201143414411001
64433105431325440
7320600314310364
oct40463604075340
97834612752236
102240329841376
11794133876800
12302235b20880
131333540815c3
147a60ac7d2a4
153d421d8e736
hex2099e107ae0

2240329841376 has 144 divisors (see below), whose sum is σ = 6492327382800. Its totient is φ = 675922452480.

The previous prime is 2240329841363. The next prime is 2240329841381. The reversal of 2240329841376 is 6731489230422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238960 + ... + 3081168.

It is an arithmetic number, because the mean of its divisors is an integer number (45085606825).

Almost surely, 22240329841376 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 2240329841376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246163691400).

2240329841376 is an abundant number, since it is smaller than the sum of its proper divisors (4251997541424).

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

2240329841376 is a wasteful number, since it uses less digits than its factorization.

2240329841376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842473 (or 842454 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 2240329841376 in words is "two trillion, two hundred forty billion, three hundred twenty-nine million, eight hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 229 242 264 352 363 458 484 528 687 726 916 968 1056 1374 1452 1832 1936 2519 2748 2904 3664 3872 5038 5496 5808 7328 7557 10076 10992 11616 15114 20152 21984 27709 30228 40304 55418 60456 80608 83127 110836 120912 166254 221672 241824 332508 443344 665016 842209 886688 1330032 1684418 2526627 2660064 3368836 5053254 6737672 9264299 10106508 13475344 18528598 20213016 26950688 27792897 37057196 40426032 55585794 74114392 80852064 101907289 111171588 148228784 192865861 203814578 222343176 296457568 305721867 385731722 407629156 444686352 578597583 611443734 771463444 815258312 889372704 1157195166 1222887468 1542926888 1630516624 2121524471 2314390332 2445774936 3085853776 3261033248 4243048942 4628780664 4891549872 6171707552 6364573413 8486097884 9257561328 9783099744 12729146826 16972195768 18515122656 23336769181 25458293652 33944391536 46673538362 50916587304 67888783072 70010307543 93347076724 101833174608 140020615086 186694153448 203666349216 280041230172 373388306896 560082460344 746776613792 1120164920688 2240329841376