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12440341004 = 22713292394931
BaseRepresentation
bin10111001011000000…
…01000101000001100
31012002222200210122112
423211200020220030
5200434211403004
65414235403152
7620166103520
oct134540105014
935088623575
1012440341004
115304280363
1224b22b34b8
13123345bc30
148602c3d80
154cc251e6e
hex2e5808a0c

12440341004 has 96 divisors (see below), whose sum is σ = 27840153600. Its totient is φ = 4730906880.

The previous prime is 12440340967. The next prime is 12440341097. The reversal of 12440341004 is 40014304421.

It is a happy number.

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, 2520419 + ... + 2525349.

It is an arithmetic number, because the mean of its divisors is an integer number (290001600).

Almost surely, 212440341004 is an apocalyptic number.

12440341004 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 12440341004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920076800).

12440341004 is an abundant number, since it is smaller than the sum of its proper divisors (15399812596).

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

12440341004 is a wasteful number, since it uses less digits than its factorization.

12440341004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12440341004 its reverse (40014304421), we get a palindrome (52454645425).

The spelling of 12440341004 in words is "twelve billion, four hundred forty million, three hundred forty-one thousand, four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 239 364 377 406 478 754 812 956 1508 1673 2639 3107 3346 4931 5278 6214 6692 6931 9862 10556 12428 13862 19724 21749 27724 34517 43498 48517 64103 69034 86996 90103 97034 128206 138068 142999 180206 194068 256412 285998 360412 448721 571996 630721 897442 1000993 1178509 1261442 1794884 1858987 2001986 2357018 2522884 3717974 4003972 4714036 7435948 8249563 13012909 15320617 16499126 26025818 30641234 32998252 34176761 52051636 61282468 68353522 107244319 136707044 214488638 239237327 428977276 444297893 478474654 888595786 956949308 1777191572 3110085251 6220170502 12440341004