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12252044241444 = 22372236531001639
BaseRepresentation
bin1011001001001010011010…
…1111101010101000100100
31121101021200000210011222210
42302102212233222220210
53101214141311211234
642020302244523420
72403116035505610
oct262224657525044
947337600704883
1012252044241444
1139a4076622997
12145a6409b0570
136ab4941460a7
14305005ac4340
15163a8543abe9
hexb24a6beaa24

12252044241444 has 96 divisors (see below), whose sum is σ = 32868920770560. Its totient is φ = 3479546176128.

The previous prime is 12252044241431. The next prime is 12252044241509. The reversal of 12252044241444 is 44414244025221.

It is a happy number.

It is a super-2 number, since 2×122520442414442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11731177 + ... + 12732815.

It is an arithmetic number, because the mean of its divisors is an integer number (342384591360).

Almost surely, 212252044241444 is an apocalyptic number.

12252044241444 is a gapful number since it is divisible by the number (14) 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 12252044241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434460385280).

12252044241444 is an abundant number, since it is smaller than the sum of its proper divisors (20616876529116).

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

12252044241444 is a wasteful number, since it uses less digits than its factorization.

12252044241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002529 (or 1002527 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 39.

Adding to 12252044241444 its reverse (44414244025221), we get a palindrome (56666288266665).

The spelling of 12252044241444 in words is "twelve trillion, two hundred fifty-two billion, forty-four million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 653 669 892 1306 1338 1561 1959 2612 2676 3122 3918 4571 4683 6244 7836 9142 9366 13713 18284 18732 27426 54852 145619 291238 436857 582476 873714 1001639 1019333 1747428 2003278 2038666 3004917 3057999 4006556 4077332 6009834 6115998 7011473 12019668 12231996 14022946 21034419 28045892 42068838 84137676 223365497 446730994 654070267 670096491 893461988 1308140534 1340192982 1563558479 1962210801 2616281068 2680385964 3127116958 3924421602 4578491869 4690675437 6254233916 7848843204 9156983738 9381350874 13735475607 18313967476 18762701748 27470951214 54941902428 145857669541 291715339082 437573008623 583430678164 875146017246 1021003686787 1750292034492 2042007373574 3063011060361 4084014747148 6126022120722 12252044241444