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244056201642 = 232112439255251
BaseRepresentation
bin1110001101001011100…
…0100001100110101010
3212022221200210121121100
43203102320201212222
512444311341423032
6304041243222230
723426640325401
oct3432270414652
9768850717540
10244056201642
119455a3aa600
123b371b17976
131a025840246
14bb53272638
1565360d397c
hex38d2e219aa

244056201642 has 72 divisors (see below), whose sum is σ = 582556534560. Its totient is φ = 73787670000.

The previous prime is 244056201637. The next prime is 244056201643. The reversal of 244056201642 is 246102650442.

244056201642 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 5 + 6 + 2 + 0 + 1 + 642 = 666.

It is a super-5 number, since 5×2440562016425 (a number of 58 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244056201597 and 244056201606.

It is not an unprimeable number, because it can be changed into a prime (244056201643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 828517 + ... + 1083767.

It is an arithmetic number, because the mean of its divisors is an integer number (8091062980).

Almost surely, 2244056201642 is an apocalyptic number.

244056201642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244056201642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291278267280).

244056201642 is an abundant number, since it is smaller than the sum of its proper divisors (338500332918).

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

244056201642 is a wasteful number, since it uses less digits than its factorization.

244056201642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255720 (or 255706 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 244056201642 in words is "two hundred forty-four billion, fifty-six million, two hundred one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 439 726 878 1089 1317 2178 2634 3951 4829 7902 9658 14487 28974 43461 53119 86922 106238 159357 255251 318714 478071 510502 765753 956142 1531506 2297259 2807761 4594518 5615522 8423283 16846566 25269849 30885371 50539698 61770742 92656113 112055189 185312226 224110378 277968339 336165567 555936678 672331134 1008496701 1232607079 2016993402 2465214158 3697821237 7395642474 11093463711 13558677869 22186927422 27117355738 40676033607 81352067214 122028100821 244056201642