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14399955264 = 2631735912289
BaseRepresentation
bin11010110100100110…
…11110000101000000
31101011120001112001110
431122103132011000
5213442342032024
610340521003320
71016562412602
oct153223360500
941146045043
1014399955264
11611a443582
12295a623540
131486435cb6
149a8669172
155942d8629
hex35a4de140

14399955264 has 112 divisors (see below), whose sum is σ = 40456713600. Its totient is φ = 4504682496.

The previous prime is 14399955233. The next prime is 14399955287. The reversal of 14399955264 is 46255999341.

It is a congruent number.

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, 1165632 + ... + 1177920.

Almost surely, 214399955264 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 14399955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228356800).

14399955264 is an abundant number, since it is smaller than the sum of its proper divisors (26056758336).

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

14399955264 is a wasteful number, since it uses less digits than its factorization.

14399955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12680 (or 12670 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 57.

The spelling of 14399955264 in words is "fourteen billion, three hundred ninety-nine million, nine hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 359 408 544 718 816 1077 1088 1436 1632 2154 2872 3264 4308 5744 6103 8616 11488 12206 12289 17232 18309 22976 24412 24578 34464 36618 36867 48824 49156 68928 73236 73734 97648 98312 146472 147468 195296 196624 208913 292944 294936 390592 393248 417826 585888 589872 626739 786496 835652 1171776 1179744 1253478 1671304 2359488 2506956 3342608 4411751 5013912 6685216 8823502 10027824 13235253 13370432 17647004 20055648 26470506 35294008 40111296 52941012 70588016 74999767 105882024 141176032 149999534 211764048 224999301 282352064 299999068 423528096 449998602 599998136 847056192 899997204 1199996272 1799994408 2399992544 3599988816 4799985088 7199977632 14399955264