Search a number
-
+
14100162431130 = 233597538379627
BaseRepresentation
bin1100110100101111001100…
…1011000100100010011010
31211220221222120012122122000
43031023303023010202122
53322004113040244010
645553305235341430
72653463112102156
oct315136313044232
954827876178560
1014100162431130
114546933113696
1216b8857a51876
137b38412c5889
1436a646cd2066
15196b9e5207c0
hexcd2f32c489a

14100162431130 has 64 divisors (see below), whose sum is σ = 37988066551680. Its totient is φ = 3721279974912.

The previous prime is 14100162431123. The next prime is 14100162431137. The reversal of 14100162431130 is 3113426100141.

14100162431130 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 1 + 624 + 3 + 1 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (14100162431123) and next prime (14100162431137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14100162431094 and 14100162431103.

It is not an unprimeable number, because it can be changed into a prime (14100162431137) 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, 269163624 + ... + 269216003.

It is an arithmetic number, because the mean of its divisors is an integer number (593563539870).

Almost surely, 214100162431130 is an apocalyptic number.

14100162431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14100162431130 is an abundant number, since it is smaller than the sum of its proper divisors (23887904120550).

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

14100162431130 is a wasteful number, since it uses less digits than its factorization.

14100162431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538379740 (or 538379734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14100162431130 its reverse (3113426100141), we get a palindrome (17213588531271).

The spelling of 14100162431130 in words is "fourteen trillion, one hundred billion, one hundred sixty-two million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1455 1746 2619 2910 4365 5238 8730 13095 26190 538379627 1076759254 1615138881 2691898135 3230277762 4845416643 5383796270 8075694405 9690833286 14536249929 16151388810 24227083215 29072499858 48454166430 52222823819 72681249645 104445647638 145362499290 156668471457 261114119095 313336942914 470005414371 522228238190 783342357285 940010828742 1410016243113 1566684714570 2350027071855 2820032486226 4700054143710 7050081215565 14100162431130