Search a number
-
+
4344102014434 = 27131011231191977
BaseRepresentation
bin111111001101110000101…
…010000100110111100010
3120101021212221100012010021
4333031300222010313202
51032133210103430214
613123353010224054
7625564616605150
oct77156052046742
916337787305107
104344102014434
111425361378086
125a1abab8502a
13256854798970
1411038175a3d0
1578000327924
hex3f370a84de2

4344102014434 has 64 divisors (see below), whose sum is σ = 8105907059712. Its totient is φ = 1700139456000.

The previous prime is 4344102014411. The next prime is 4344102014443.

4344102014434 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4344102014434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22532254 + ... + 22724230.

It is an arithmetic number, because the mean of its divisors is an integer number (126654797808).

Almost surely, 24344102014434 is an apocalyptic number.

4344102014434 is a deficient number, since it is larger than the sum of its proper divisors (3761805045278).

4344102014434 is a wasteful number, since it uses less digits than its factorization.

4344102014434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193331.

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 4344102014434 in words is "four trillion, three hundred forty-four billion, one hundred two million, fourteen thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 26 91 101 182 202 707 1231 1313 1414 2462 2626 8617 9191 16003 17234 18382 32006 112021 124331 191977 224042 248662 383954 870317 1343839 1616303 1740634 2495701 2687678 3232606 4991402 11314121 17469907 19389677 22628242 34939814 38779354 135727739 236323687 252065801 271455478 472647374 504131602 1654265809 1764460607 3072207931 3308531618 3528921214 6144415862 21505455517 23868692387 43010911034 47737384774 167080846709 310293001031 334161693418 620586002062 2172051007217 4344102014434