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14280811164 = 22331273672837
BaseRepresentation
bin11010100110011001…
…11110001010011100
31100212020212101002000
431103030332022130
5213221341424124
610321023202300
71013614614654
oct152314761234
940766771060
1014280811164
116069166884
122926746390
13146784b829
149968d3364
15588b016c9
hex35333e29c

14280811164 has 96 divisors (see below), whose sum is σ = 37430722560. Its totient is φ = 4708259136.

The previous prime is 14280811163. The next prime is 14280811187. The reversal of 14280811164 is 46111808241.

It is a super-3 number, since 3×142808111643 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14280811163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5032354 + ... + 5035190.

It is an arithmetic number, because the mean of its divisors is an integer number (389903360).

Almost surely, 214280811164 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 14280811164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715361280).

14280811164 is an abundant number, since it is smaller than the sum of its proper divisors (23149911396).

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

14280811164 is a wasteful number, since it uses less digits than its factorization.

14280811164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 14280811164 in words is "fourteen billion, two hundred eighty million, eight hundred eleven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 367 381 508 734 762 1101 1143 1468 1524 2202 2286 2837 3303 3429 4404 4572 5674 6606 6858 8511 9909 11348 13212 13716 17022 19818 25533 34044 39636 46609 51066 76599 93218 102132 139827 153198 186436 279654 306396 360299 419481 559308 720598 838962 1041179 1080897 1258443 1441196 1677924 2082358 2161794 2516886 3123537 3242691 4164716 4323588 5033772 6247074 6485382 9370611 9728073 12494148 12970764 18741222 19456146 28111833 37482444 38912292 56223666 112447332 132229733 264459466 396689199 528918932 793378398 1190067597 1586756796 2380135194 3570202791 4760270388 7140405582 14280811164