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422623645444 = 2275111343961
BaseRepresentation
bin1100010011001100101…
…01010000111100000100
31111101212100221122012001
412021212111100330010
523411013123123234
6522052311235044
742351002500000
oct6114625207404
91441770848161
10422623645444
11153263037040
1269aa7978a84
1330b127476b0
1416652ac3700
15aed7b65d14
hex6266550f04

422623645444 has 144 divisors (see below), whose sum is σ = 1013720109696. Its totient is φ = 151989062400.

The previous prime is 422623645441. The next prime is 422623645447. The reversal of 422623645444 is 444546326224.

It is an interprime number because it is at equal distance from previous prime (422623645441) and next prime (422623645447).

It is a super-2 number, since 2×4226236454442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422623645394 and 422623645403.

It is not an unprimeable number, because it can be changed into a prime (422623645441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9591624 + ... + 9635584.

It is an arithmetic number, because the mean of its divisors is an integer number (7039722984).

Almost surely, 2422623645444 is an apocalyptic number.

422623645444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422623645444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506860054848).

422623645444 is an abundant number, since it is smaller than the sum of its proper divisors (591096464252).

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

422623645444 is a wasteful number, since it uses less digits than its factorization.

422623645444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44024 (or 43994 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 46.

The spelling of 422623645444 in words is "four hundred twenty-two billion, six hundred twenty-three million, six hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 572 637 686 1001 1078 1274 1372 2002 2156 2401 2548 3773 4004 4459 4802 7007 7546 8918 9604 14014 15092 16807 17836 26411 28028 31213 33614 43961 49049 52822 62426 67228 87922 98098 105644 124852 175844 184877 196196 218491 307727 343343 369754 436982 483571 571493 615454 686686 739508 873964 967142 1142986 1230908 1373372 1934284 2154089 2285972 2403401 3384997 4000451 4308178 4806802 6286423 6769994 8000902 8616356 9613604 12572846 13539988 15078623 16001804 23694979 25145692 28003157 30157246 44004961 47389958 56006314 60314492 88009922 94779916 105550361 112012628 165864853 176019844 196022099 211100722 308034727 331729706 392044198 422201444 616069454 663459412 738852527 784088396 1161053971 1232138908 1372154693 1477705054 2156243089 2322107942 2744309386 2955410108 4312486178 4644215884 5488618772 8127377797 8624972356 9605082851 15093701623 16254755594 19210165702 30187403246 32509511188 38420331404 60374806492 105655911361 211311822722 422623645444