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104131205440 = 26519109157127
BaseRepresentation
bin110000011111010110…
…1000001100101000000
3100221210002020022201121
41200332231001211000
53201230042033230
6115500501042024
710344316433143
oct1407655014500
9327702208647
10104131205440
1140186394979
12182213b6314
139a8667c4c2
14507b9aa05a
152a96c7a77a
hex183eb41940

104131205440 has 112 divisors (see below), whose sum is σ = 263409379200. Its totient is φ = 39097976832.

The previous prime is 104131205429. The next prime is 104131205447. The reversal of 104131205440 is 44502131401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104131205447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584157 + ... + 741283.

Almost surely, 2104131205440 is an apocalyptic number.

104131205440 is a gapful number since it is divisible by the number (10) 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 104131205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131704689600).

104131205440 is an abundant number, since it is smaller than the sum of its proper divisors (159278173760).

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

104131205440 is a wasteful number, since it uses less digits than its factorization.

104131205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157272 (or 157262 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 104131205440 its reverse (44502131401), we get a palindrome (148633336841).

The spelling of 104131205440 in words is "one hundred four billion, one hundred thirty-one million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 109 152 160 190 218 304 320 380 436 545 608 760 872 1090 1216 1520 1744 2071 2180 3040 3488 4142 4360 6080 6976 8284 8720 10355 16568 17440 20710 33136 34880 41420 66272 82840 132544 157127 165680 314254 331360 628508 662720 785635 1257016 1571270 2514032 2985413 3142540 5028064 5970826 6285080 10056128 11941652 12570160 14927065 17126843 23883304 25140320 29854130 34253686 47766608 50280640 59708260 68507372 85634215 95533216 119416520 137014744 171268430 191066432 238833040 274029488 325410017 342536860 477666080 548058976 650820034 685073720 955332160 1096117952 1301640068 1370147440 1627050085 2603280136 2740294880 3254100170 5206560272 5480589760 6508200340 10413120544 13016400680 20826241088 26032801360 52065602720 104131205440