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442504290624 = 26311931922483
BaseRepresentation
bin1100111000001110100…
…11111010000101000000
31120022011212220001101220
412130013103322011000
524222222044244444
6535141134355040
743653445260444
oct6340723720500
91508155801356
10442504290624
11160735155010
127191595ba80
1332960492c76
14175bb1ba824
15b79d1a7619
hex67074fa140

442504290624 has 112 divisors (see below), whose sum is σ = 1277422164480. Its totient is φ = 134071856640.

The previous prime is 442504290623. The next prime is 442504290637. The reversal of 442504290624 is 426092405244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442504290623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19670487 + ... + 19692969.

It is an arithmetic number, because the mean of its divisors is an integer number (11405555040).

Almost surely, 2442504290624 is an apocalyptic number.

442504290624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442504290624 is an abundant number, since it is smaller than the sum of its proper divisors (834917873856).

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

442504290624 is a wasteful number, since it uses less digits than its factorization.

442504290624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31828 (or 31818 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 442504290624 its reverse (426092405244), we get a palindrome (868596695868).

The spelling of 442504290624 in words is "four hundred forty-two billion, five hundred four million, two hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 9319 18638 22483 27957 37276 44966 55914 67449 74552 89932 102509 111828 134898 149104 179864 205018 223656 247313 269796 298208 307527 359728 410036 447312 494626 539592 596416 615054 719456 741939 820072 894624 989252 1079184 1230108 1438912 1483878 1640144 1789248 1978504 2158368 2460216 2967756 3280288 3957008 4316736 4920432 5935512 6560576 7914016 9840864 11871024 15828032 19681728 23742048 47484096 209519077 419038154 628557231 838076308 1257114462 1676152616 2304709847 2514228924 3352305232 4609419694 5028457848 6704610464 6914129541 9218839388 10056915696 13409220928 13828259082 18437678776 20113831392 27656518164 36875357552 40227662784 55313036328 73750715104 110626072656 147501430208 221252145312 442504290624