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131404034346 = 231347227269587
BaseRepresentation
bin111101001100001001…
…0100111000100101010
3110120011202212120122220
41322120102213010222
54123103413044341
6140211032254510
712331212601644
oct1723022470452
9416152776586
10131404034346
11508011739a2
1221572b41436
13c511a366a0
146507b4b894
153641253a66
hex1e984a712a

131404034346 has 128 divisors (see below), whose sum is σ = 291894865920. Its totient is φ = 39184104192.

The previous prime is 131404034341. The next prime is 131404034347. The reversal of 131404034346 is 643430404131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131404034341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 223856665 + ... + 223857251.

It is an arithmetic number, because the mean of its divisors is an integer number (2280428640).

Almost surely, 2131404034346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404034346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145947432960).

131404034346 is an abundant number, since it is smaller than the sum of its proper divisors (160490831574).

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

131404034346 is a wasteful number, since it uses less digits than its factorization.

131404034346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131404034346 its reverse (643430404131), we get a palindrome (774834438477).

The spelling of 131404034346 in words is "one hundred thirty-one billion, four hundred four million, thirty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 227 269 282 454 538 587 611 681 807 1174 1222 1362 1614 1761 1833 2951 3497 3522 3666 5902 6994 7631 8853 10491 10669 12643 15262 17706 20982 21338 22893 25286 27589 32007 37929 45786 55178 61063 64014 75858 82767 122126 133249 138697 157903 164359 165534 183189 266498 277394 315806 328718 358657 366378 399747 416091 473709 493077 717314 793819 799494 832182 947418 986154 1075971 1587638 1732237 2052739 2151942 2381457 2869961 3464474 4105478 4762914 5196711 5739922 6158217 6262703 7421441 8609883 10393422 12316434 12525406 14842882 17219766 18788109 22264323 35843981 37309493 37576218 44528646 71687962 74618986 81415139 96478733 107531943 111928479 162830278 192957466 215063886 223856958 244245417 289436199 465971753 488490834 578872398 931943506 1397915259 1684667107 2795830518 3369334214 5054001321 10108002642 21900672391 43801344782 65702017173 131404034346