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244126484621442 = 23341353331209991
BaseRepresentation
bin110111100000100000100000…
…011001010110100010000010
31012000101021010110101021122000
4313200200200121112202002
5223444232020030341232
62223114054144124430
7102264361604051643
oct6740404031264202
91160337113337560
10244126484621442
1170871508228185
1223469421906716
13a62b04b134527
14443dadbaa56ca
151d3545418127c
hexde0820656882

244126484621442 has 64 divisors (see below), whose sum is σ = 555892403109120. Its totient is φ = 79368252969600.

The previous prime is 244126484621399. The next prime is 244126484621473.

244126484621442 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 2 + 6 + 4 + 8 + 4 + 621 + 4 + 4 + 2 = 666.

244126484621442 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7782934 + ... + 23427057.

It is an arithmetic number, because the mean of its divisors is an integer number (8685818798580).

Almost surely, 2244126484621442 is an apocalyptic number.

244126484621442 is an abundant number, since it is smaller than the sum of its proper divisors (311765918487678).

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

244126484621442 is a wasteful number, since it uses less digits than its factorization.

244126484621442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31213576 (or 31213570 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 54.

The spelling of 244126484621442 in words is "two hundred forty-four trillion, one hundred twenty-six billion, four hundred eighty-four million, six hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 3533 7066 10599 21198 31797 63594 95391 144853 190782 289706 434559 869118 1303677 2607354 3911031 7822062 31209991 62419982 93629973 187259946 280889919 561779838 842669757 1279609631 1685339514 2559219262 3838828893 7677657786 11516486679 23032973358 34549460037 69098920074 110264898203 220529796406 330794694609 661589389218 992384083827 1984768167654 2977152251481 4520860826323 5954304502962 9041721652646 13562582478969 27125164957938 40687747436907 81375494873814 122063242310721 244126484621442