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12244012430144 = 261123756176657
BaseRepresentation
bin1011001000101100100000…
…0000101111001101000000
31121100111221021111220012012
42302023020000233031000
53101101214140231034
642012453251152052
72402413020314255
oct262131000571500
947314837456165
1012244012430144
1139a07248a8210
121458b7aba5628
136aa7b4145721
143048830d942c
15163765259cce
hexb22c802f340

12244012430144 has 56 divisors (see below), whose sum is σ = 27657917443008. Its totient is φ = 5323483658240.

The previous prime is 12244012430137. The next prime is 12244012430147. The reversal of 12244012430144 is 44103421044221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12244012430144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244012430147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378072137 + ... + 378104520.

Almost surely, 212244012430144 is an apocalyptic number.

It is an amenable number.

12244012430144 is an abundant number, since it is smaller than the sum of its proper divisors (15413905012864).

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

12244012430144 is a wasteful number, since it uses less digits than its factorization.

12244012430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756176703 (or 756176693 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 12244012430144 its reverse (44103421044221), we get a palindrome (56347433474365).

The spelling of 12244012430144 in words is "twelve trillion, two hundred forty-four billion, twelve million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 8096 16192 756176657 1512353314 3024706628 6049413256 8317943227 12098826512 16635886454 17392063111 24197653024 33271772908 34784126222 48395306048 66543545816 69568252444 133087091632 139136504888 191312694221 266174183264 278273009776 382625388442 532348366528 556546019552 765250776884 1113092039104 1530501553768 3061003107536 6122006215072 12244012430144