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14412341304 = 2332435387833
BaseRepresentation
bin11010110110000101…
…01110000000111000
31101012102100210111200
431123002232000320
5214004024410204
610342042254200
71020102610524
oct153302560070
941172323450
1014412341304
116126433379
1229627b7360
131488b8190a
149aa170d84
15595433539
hex35b0ae038

14412341304 has 96 divisors (see below), whose sum is σ = 40695248880. Its totient is φ = 4603802112.

The previous prime is 14412341249. The next prime is 14412341341. The reversal of 14412341304 is 40314321441.

14412341304 is a `hidden beast` number, since 1 + 4 + 4 + 12 + 341 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120172 + ... + 208004.

Almost surely, 214412341304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412341304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347624440).

14412341304 is an abundant number, since it is smaller than the sum of its proper divisors (26282907576).

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

14412341304 is a wasteful number, since it uses less digits than its factorization.

14412341304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87941 (or 87934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14412341304 its reverse (40314321441), we get a palindrome (54726662745).

The spelling of 14412341304 in words is "fourteen billion, four hundred twelve million, three hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 53 72 86 106 129 159 172 212 258 318 344 387 424 477 516 636 774 954 1032 1272 1548 1908 2279 3096 3816 4558 6837 9116 13674 18232 20511 27348 41022 54696 82044 87833 164088 175666 263499 351332 526998 702664 790497 1053996 1580994 2107992 3161988 3776819 4655149 6323976 7553638 9310298 11330457 13965447 15107276 18620596 22660914 27930894 30214552 33991371 37241192 41896341 45321828 55861788 67982742 83792682 90643656 111723576 135965484 167585364 200171407 271930968 335170728 400342814 600514221 800685628 1201028442 1601371256 1801542663 2402056884 3603085326 4804113768 7206170652 14412341304