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22456112513040 = 2432557107546151
BaseRepresentation
bin1010001101100011110001…
…00111000000000000010000
32221111210011002110201210100
411012301320213000000100
510420410104300404130
6115432110133132400
74505254254641313
oct506617047000020
987453132421710
1022456112513040
1171786470a1838
12262818a78a100
13c6b7aa3c707b
14578c4b33a97a
1528e205a61c60
hex146c789c0010

22456112513040 has 120 divisors (see below), whose sum is σ = 75416569869888. Its totient is φ = 5988180844800.

The previous prime is 22456112513027. The next prime is 22456112513047. The reversal of 22456112513040 is 4031521165422.

22456112513040 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 611 + 2 + 5 + 1 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22456112512986 and 22456112513004.

It is not an unprimeable number, because it can be changed into a prime (22456112513047) 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, 40843965 + ... + 41390115.

Almost surely, 222456112513040 is an apocalyptic number.

22456112513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22456112513040 is an abundant number, since it is smaller than the sum of its proper divisors (52960457356848).

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

22456112513040 is a wasteful number, since it uses less digits than its factorization.

22456112513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603277 (or 603268 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 22456112513040 its reverse (4031521165422), we get a palindrome (26487633678462).

The spelling of 22456112513040 in words is "twenty-two trillion, four hundred fifty-six billion, one hundred twelve million, five hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 57107 114214 171321 228428 285535 342642 456856 513963 546151 571070 685284 856605 913712 1027926 1092302 1142140 1370568 1638453 1713210 2055852 2184604 2284280 2569815 2730755 2741136 3276906 3426420 4111704 4369208 4568560 4915359 5139630 5461510 6553812 6852840 8192265 8223408 8738416 9830718 10279260 10923020 13107624 13705680 16384530 19661436 20558520 21846040 24576795 26215248 32769060 39322872 41117040 43692080 49153590 65538120 78645744 98307180 131076240 196614360 393228720 31189045157 62378090314 93567135471 124756180628 155945225785 187134270942 249512361256 280701406413 311890451570 374268541884 467835677355 499024722512 561402812826 623780903140 748537083768 935671354710 1122805625652 1247561806280 1403507032065 1497074167536 1871342709420 2245611251304 2495123612560 2807014064130 3742685418840 4491222502608 5614028128260 7485370837680 11228056256520 22456112513040