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21445140144 = 24317241109049
BaseRepresentation
bin10011111110001110…
…101101111010110000
32001100112210222211210
4103332032231322300
5322404423441034
613503551440120
71356300453321
oct237616557260
961315728753
1021445140144
11910524a21a
1241a5b26040
132039bcc74c
1410761c8448
15857a7a8e9
hex4fe3adeb0

21445140144 has 80 divisors (see below), whose sum is σ = 58902703200. Its totient is φ = 6699909120.

The previous prime is 21445140121. The next prime is 21445140179. The reversal of 21445140144 is 44104154412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142132 + ... + 251180.

It is an arithmetic number, because the mean of its divisors is an integer number (736283790).

Almost surely, 221445140144 is an apocalyptic number.

21445140144 is a gapful number since it is divisible by the number (24) 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 21445140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29451351600).

21445140144 is an abundant number, since it is smaller than the sum of its proper divisors (37457563056).

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

21445140144 is a wasteful number, since it uses less digits than its factorization.

21445140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109318 (or 109312 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 21445140144 its reverse (44104154412), we get a palindrome (65549294556).

The spelling of 21445140144 in words is "twenty-one billion, four hundred forty-five million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 241 272 408 482 723 816 964 1446 1928 2892 3856 4097 5784 8194 11568 12291 16388 24582 32776 49164 65552 98328 109049 196656 218098 327147 436196 654294 872392 1308588 1744784 1853833 2617176 3707666 5234352 5561499 7415332 11122998 14830664 22245996 26280809 29661328 44491992 52561618 78842427 88983984 105123236 157684854 210246472 315369708 420492944 446773753 630739416 893547506 1261478832 1340321259 1787095012 2680642518 3574190024 5361285036 7148380048 10722570072 21445140144