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131417944250 = 2532918126613
BaseRepresentation
bin111101001100100011…
…1101011000010111010
3110120012202001021110112
41322121013223002322
54123120443204000
6140212250344322
712331442044415
oct1723107530272
9416182037415
10131417944250
115080900468a
122157772b0a2
13c514896ab8
14650992cb7c
1536425a0235
hex1e991eb0ba

131417944250 has 32 divisors (see below), whose sum is σ = 254497660560. Its totient is φ = 50754513600.

The previous prime is 131417944243. The next prime is 131417944283. The reversal of 131417944250 is 52449714131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1730809609 + 129687134641 = 41603^2 + 360121^2 .

It is a super-2 number, since 2×1314179442502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131417944198 and 131417944207.

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, 9056057 + ... + 9070556.

Almost surely, 2131417944250 is an apocalyptic number.

131417944250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131417944250 is a deficient number, since it is larger than the sum of its proper divisors (123079716310).

131417944250 is a wasteful number, since it uses less digits than its factorization.

131417944250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18126659 (or 18126649 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 131417944250 in words is "one hundred thirty-one billion, four hundred seventeen million, nine hundred forty-four thousand, two hundred fifty".

Divisors: 1 2 5 10 25 29 50 58 125 145 250 290 725 1450 3625 7250 18126613 36253226 90633065 181266130 453165325 525671777 906330650 1051343554 2265826625 2628358885 4531653250 5256717770 13141794425 26283588850 65708972125 131417944250