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131342434140 = 2235101109198841
BaseRepresentation
bin111101001010010011…
…1100111111101011100
3110120000110221222001210
41322110213213331130
54122442130343030
6140200552104420
712326534161341
oct1722447477534
9416013858053
10131342434140
115077a41a835
1221556395110
13c502049268
1464dd8b47c8
15363ab36bb0
hex1e949e7f5c

131342434140 has 96 divisors (see below), whose sum is σ = 374809216320. Its totient is φ = 34359552000.

The previous prime is 131342434133. The next prime is 131342434177. The reversal of 131342434140 is 41434243131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131342434098 and 131342434107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561120 + ... + 759960.

It is an arithmetic number, because the mean of its divisors is an integer number (3904262670).

Almost surely, 2131342434140 is an apocalyptic number.

131342434140 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 131342434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187404608160).

131342434140 is an abundant number, since it is smaller than the sum of its proper divisors (243466782180).

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

131342434140 is a wasteful number, since it uses less digits than its factorization.

131342434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199063 (or 199061 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131342434140 its reverse (41434243131), we get a palindrome (172776677271).

The spelling of 131342434140 in words is "one hundred thirty-one billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 109 202 218 303 327 404 436 505 545 606 654 1010 1090 1212 1308 1515 1635 2020 2180 3030 3270 6060 6540 11009 22018 33027 44036 55045 66054 110090 132108 165135 198841 220180 330270 397682 596523 660540 795364 994205 1193046 1988410 2386092 2982615 3976820 5965230 11930460 20082941 21673669 40165882 43347338 60248823 65021007 80331764 86694676 100414705 108368345 120497646 130042014 200829410 216736690 240995292 260084028 301244115 325105035 401658820 433473380 602488230 650210070 1204976460 1300420140 2189040569 4378081138 6567121707 8756162276 10945202845 13134243414 21890405690 26268486828 32835608535 43780811380 65671217070 131342434140