Search a number
-
+
14331401304 = 23311476717239
BaseRepresentation
bin11010101100011011…
…11101010001011000
31100222210001121200220
431112031331101120
5213322314320204
610330031400040
71015100621043
oct152615752130
940883047626
1014331401304
11609477aa10
12293b683020
13147518271c
1499d501c5a
1558d2961d9
hex35637d458

14331401304 has 128 divisors (see below), whose sum is σ = 40515379200. Its totient is φ = 4186765440.

The previous prime is 14331401303. The next prime is 14331401389. The reversal of 14331401304 is 40310413341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14331401303) 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, 822717 + ... + 839955.

It is an arithmetic number, because the mean of its divisors is an integer number (316526400).

Almost surely, 214331401304 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 14331401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257689600).

14331401304 is an abundant number, since it is smaller than the sum of its proper divisors (26183977896).

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

14331401304 is a wasteful number, since it uses less digits than its factorization.

14331401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17373 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14331401304 its reverse (40310413341), we get a palindrome (54641814645).

The spelling of 14331401304 in words is "fourteen billion, three hundred thirty-one million, four hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 67 88 94 132 134 141 188 201 264 268 282 376 402 517 536 564 737 804 1034 1128 1474 1551 1608 2068 2211 2948 3102 3149 4136 4422 5896 6204 6298 8844 9447 12408 12596 17239 17688 18894 25192 34478 34639 37788 51717 68956 69278 75576 103434 103917 137912 138556 189629 206868 207834 277112 379258 413736 415668 568887 758516 810233 831336 1137774 1155013 1517032 1620466 2275548 2310026 2430699 3240932 3465039 4551096 4620052 4861398 6481864 6930078 8912563 9240104 9722796 12705143 13860156 17825126 19445592 25410286 26737689 27720312 35650252 38115429 50820572 53475378 54285611 71300504 76230858 101641144 106950756 108571222 152461716 162856833 213901512 217142444 304923432 325713666 434284888 597141721 651427332 1194283442 1302854664 1791425163 2388566884 3582850326 4777133768 7165700652 14331401304