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131242404040 = 235112312968617
BaseRepresentation
bin111101000111010101…
…0000010100011001000
3110112202111201220120021
41322032222002203020
54122241023412130
6140143020110224
712324211012366
oct1721652024310
9415674656507
10131242404040
1150728a08730
1221528995374
13c4b73c4b57
1464d04b6636
153631e7837a
hex1e8ea828c8

131242404040 has 64 divisors (see below), whose sum is σ = 336146578560. Its totient is φ = 45649528320.

The previous prime is 131242404019. The next prime is 131242404061. The reversal of 131242404040 is 40404242131.

It is an interprime number because it is at equal distance from previous prime (131242404019) and next prime (131242404061).

It is a junction number, because it is equal to n+sod(n) for n = 131242403996 and 131242404014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6474189 + ... + 6494428.

It is an arithmetic number, because the mean of its divisors is an integer number (5252290290).

Almost surely, 2131242404040 is an apocalyptic number.

131242404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131242404040 is an abundant number, since it is smaller than the sum of its proper divisors (204904174520).

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

131242404040 is a wasteful number, since it uses less digits than its factorization.

131242404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12968662 (or 12968658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 131242404040 its reverse (40404242131), we get a palindrome (171646646171).

The spelling of 131242404040 in words is "one hundred thirty-one billion, two hundred forty-two million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 12968617 25937234 51874468 64843085 103748936 129686170 142654787 259372340 285309574 298278191 518744680 570619148 596556382 713273935 1141238296 1193112764 1426547870 1491390955 2386225528 2853095740 2982781910 3281060101 5706191480 5965563820 6562120202 11931127640 13124240404 16405300505 26248480808 32810601010 65621202020 131242404040