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440045520222 = 2371119128938891
BaseRepresentation
bin1100110011101001100…
…00011100010101011110
31120001211112021120111110
412121310300130111132
524202203123121342
6534053142402450
743535511130560
oct6316460342536
91501745246443
10440045520222
1115a693251460
127134a430426
133265ac6ac39
141742681d330
15b6a73c2c9c
hex6674c1c55e

440045520222 has 128 divisors (see below), whose sum is σ = 1155932467200. Its totient is φ = 108195091200.

The previous prime is 440045520199. The next prime is 440045520263. The reversal of 440045520222 is 222025540044.

It is a super-2 number, since 2×4400455202222 (a number of 24 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 440045520222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11295397 + ... + 11334287.

It is an arithmetic number, because the mean of its divisors is an integer number (9030722400).

Almost surely, 2440045520222 is an apocalyptic number.

440045520222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 440045520222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577966233600).

440045520222 is an abundant number, since it is smaller than the sum of its proper divisors (715886946978).

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

440045520222 is a wasteful number, since it uses less digits than its factorization.

440045520222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40222.

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 440045520222 in words is "four hundred forty billion, forty-five million, five hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1289 1463 2578 2926 3867 4389 7734 8778 9023 14179 18046 24491 27069 28358 38891 42537 48982 54138 73473 77782 85074 99253 116673 146946 171437 198506 233346 269401 272237 297759 342874 427801 514311 538802 544474 595518 738929 808203 816711 855602 1028622 1283403 1477858 1616406 1633422 1885807 2216787 2566806 2994607 3771614 4433574 5172503 5657421 5989214 8128219 8983821 10345006 11314842 15517509 16256438 17967642 24384657 31035018 48769314 50130499 56897533 100260998 113795066 150391497 170692599 300782994 341385198 350913493 551435489 701826986 952479481 1052740479 1102870978 1654306467 1904958962 2105480958 2857438443 3308612934 3860048423 5714876886 6667356367 7720096846 10477274291 11580145269 13334712734 20002069101 20954548582 23160290538 31431822873 40004138202 62863645746 73340920037 146681840074 220022760111 440045520222