Search a number
-
+
14151010313034 = 23272314393393347
BaseRepresentation
bin1100110111101100100111…
…1100010110001101001010
31212002211020020110200120100
43031323021330112031022
53323322232120004114
650032515010110230
72660243141004630
oct315731174261512
955084206420510
1014151010313034
114566456450991
12170668887b376
137b858591176a
1436ccac093350
15198178549909
hexcdec9f1634a

14151010313034 has 96 divisors (see below), whose sum is σ = 36589521346560. Its totient is φ = 3864668186016.

The previous prime is 14151010312979. The next prime is 14151010313051. The reversal of 14151010313034 is 43031301015141.

14151010313034 is a `hidden beast` number, since 1 + 4 + 1 + 510 + 10 + 3 + 130 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14151010312989 and 14151010313007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2473549 + ... + 5866895.

It is an arithmetic number, because the mean of its divisors is an integer number (381140847360).

Almost surely, 214151010313034 is an apocalyptic number.

14151010313034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14151010313034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294760673280).

14151010313034 is an abundant number, since it is smaller than the sum of its proper divisors (22438511033526).

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

14151010313034 is a wasteful number, since it uses less digits than its factorization.

14151010313034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394824 (or 3394821 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 14151010313034 its reverse (43031301015141), we get a palindrome (57182311328175).

The spelling of 14151010313034 in words is "fourteen trillion, one hundred fifty-one billion, ten million, three hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1439 1449 2878 2898 4317 8634 10073 12951 20146 25902 30219 33097 60438 66194 90657 99291 181314 198582 231679 297873 463358 595746 695037 1390074 2085111 3393347 4170222 6786694 10180041 20360082 23753429 30540123 47506858 61080246 71260287 78046981 142520574 156093962 213780861 234140943 427561722 468281886 546328867 702422829 1092657734 1404845658 1638986601 3277973202 4883026333 4916959803 9766052666 9833919606 14649078999 29298157998 34181184331 43947236997 68362368662 87894473994 102543552993 112309605659 205087105986 224619211318 307630658979 336928816977 615261317958 673857633954 786167239613 1010786450931 1572334479226 2021572901862 2358501718839 4717003437678 7075505156517 14151010313034