Search a number
-
+
131406321216 = 263739375451
BaseRepresentation
bin111101001100001101…
…1010101011001000000
3110120011221011202122210
41322120123111121000
54123110004234331
6140211153302120
712331241205132
oct1723033253100
9416157152583
10131406321216
1150802496075
1221573864940
13c512357571
146508185052
153641556446
hex1e986d5640

131406321216 has 56 divisors (see below), whose sum is σ = 352441991584. Its totient is φ = 43202073600.

The previous prime is 131406321133. The next prime is 131406321227. The reversal of 131406321216 is 612123604131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4673710 + ... + 4701741.

Almost surely, 2131406321216 is an apocalyptic number.

131406321216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131406321216 is an abundant number, since it is smaller than the sum of its proper divisors (221035670368).

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

131406321216 is an equidigital number, since it uses as much as digits as its factorization.

131406321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375539 (or 9375529 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 131406321216 its reverse (612123604131), we get a palindrome (743529925347).

The spelling of 131406321216 in words is "one hundred thirty-one billion, four hundred six million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 14016 9375451 18750902 28126353 37501804 56252706 75003608 112505412 150007216 225010824 300014432 450021648 600028864 684407923 900043296 1368815846 1800086592 2053223769 2737631692 4106447538 5475263384 8212895076 10950526768 16425790152 21901053536 32851580304 43802107072 65703160608 131406321216