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4045412360440 = 2351159141155461
BaseRepresentation
bin111010110111100101010…
…111011110000011111000
3112022201220202001122011201
4322313211113132003320
51012240001031013230
612334234202303544
7565162042463323
oct72674527360370
915281822048151
104045412360440
11131a7168a5170
125540404b7bb4
13234633288229
14ddb2866d7ba
157036cbee5ca
hex3ade55de0f8

4045412360440 has 64 divisors (see below), whose sum is σ = 9929880292320. Its totient is φ = 1471024704000.

The previous prime is 4045412360401. The next prime is 4045412360441. The reversal of 4045412360440 is 440632145404.

It is a super-2 number, since 2×40454123604402 (a number of 26 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 4045412360440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045412360441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25944310 + ... + 26099770.

Almost surely, 24045412360440 is an apocalyptic number.

4045412360440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4045412360440 is an abundant number, since it is smaller than the sum of its proper divisors (5884467931880).

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

4045412360440 is a wasteful number, since it uses less digits than its factorization.

4045412360440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214624 (or 214620 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 4045412360440 in words is "four trillion, forty-five billion, four hundred twelve million, three hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 59141 118282 155461 236564 295705 310922 473128 591410 621844 650551 777305 1182820 1243688 1301102 1554610 1710071 2365640 2602204 3109220 3252755 3420142 5204408 6218440 6505510 6840284 8550355 13011020 13680568 17100710 26022040 34201420 68402840 9194119001 18388238002 36776476004 45970595005 73552952008 91941190010 101135309011 183882380020 202270618022 367764760040 404541236044 505676545055 809082472088 1011353090110 2022706180220 4045412360440