Search a number
-
+
131423131401044 = 227533971231181213
BaseRepresentation
bin11101111000011101010101…
…000011111111101101010100
3122020022221001222211000011212
4131320131111003333231110
5114211214033114313134
61143302541510520552
736453002466055520
oct3570352503775524
9566287058730155
10131423131401044
113896a26753348a
12128a6824966158
1358441c05375c2
142464cb08dcd80
15102d93d321bce
hex7787550ffb54

131423131401044 has 96 divisors (see below), whose sum is σ = 268699781661696. Its totient is φ = 55077198359040.

The previous prime is 131423131401041. The next prime is 131423131401101. The reversal of 131423131401044 is 440104131324131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131423131401044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131423131401041) 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, 725150582 + ... + 725331794.

It is an arithmetic number, because the mean of its divisors is an integer number (2798956058976).

Almost surely, 2131423131401044 is an apocalyptic number.

131423131401044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131423131401044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134349890830848).

131423131401044 is an abundant number, since it is smaller than the sum of its proper divisors (137276650260652).

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

131423131401044 is a wasteful number, since it uses less digits than its factorization.

131423131401044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182905 (or 182903 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131423131401044 its reverse (440104131324131), we get a palindrome (571527262725175).

The spelling of 131423131401044 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, one hundred thirty-one million, four hundred one thousand, forty-four".

Divisors: 1 2 4 7 14 28 53 106 212 371 397 742 794 1231 1484 1588 2462 2779 4924 5558 8617 11116 17234 21041 34468 42082 65243 84164 130486 147287 181213 260972 294574 362426 456701 488707 589148 724852 913402 977414 1268491 1826804 1954828 2536982 3420949 5073964 6841898 9604289 13683796 19208578 25901471 38417156 51802942 67230023 71941561 103605884 134460046 143883122 181310297 223073203 268920092 287766244 362620594 446146406 503590927 725241188 892292812 1007181854 1561512421 2014363708 3123024842 3812902733 6246049684 7625805466 11822879759 15251610932 23645759518 26690319131 47291519036 53380638262 82760158313 88560061591 106761276524 165520316626 177120123182 331040633252 354240246364 619920431137 1239840862274 2479681724548 4693683264323 9387366528646 18774733057292 32855782850261 65711565700522 131423131401044