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244641146442 = 23731110806659
BaseRepresentation
bin1110001111010110111…
…1111010011001001010
3212101110110110220000120
43203311233322121022
513002011113141232
6304215300444110
723450302302000
oct3436557723112
9771413426016
10244641146442
119482a605260
123b4b59a9636
131a0b9a97324
14bbaac1aa70
15656c62a92c
hex38f5bfa64a

244641146442 has 64 divisors (see below), whose sum is σ = 622463616000. Its totient is φ = 63543149040.

The previous prime is 244641146423. The next prime is 244641146473.

244641146442 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 244641146394 and 244641146403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5380692 + ... + 5425967.

It is an arithmetic number, because the mean of its divisors is an integer number (9725994000).

Almost surely, 2244641146442 is an apocalyptic number.

244641146442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244641146442 is an abundant number, since it is smaller than the sum of its proper divisors (377822469558).

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

244641146442 is a wasteful number, since it uses less digits than its factorization.

244641146442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806696 (or 10806682 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 244641146442 in words is "two hundred forty-four billion, six hundred forty-one million, one hundred forty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1617 2058 3234 3773 7546 11319 22638 10806659 21613318 32419977 64839954 75646613 118873249 151293226 226939839 237746498 356619747 453879678 529526291 713239494 832112743 1059052582 1588578873 1664225486 2496338229 3177157746 3706684037 4992676458 5824789201 7413368074 11120052111 11649578402 17474367603 22240104222 34948735206 40773524407 81547048814 122320573221 244641146442