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131230240344 = 23347197146857
BaseRepresentation
bin111101000110111101…
…1101000111001011000
3110112201122211221010000
41322031323220321120
54122224420142334
6140141503253000
712324002431620
oct1721573507130
9415648757100
10131230240344
115072205a995
12215248aa160
13c4b4a264b8
1464cca2b880
153630d74299
hex1e8dee8e58

131230240344 has 160 divisors (see below), whose sum is σ = 422210875680. Its totient is φ = 37303773696.

The previous prime is 131230240313. The next prime is 131230240369. The reversal of 131230240344 is 443042032131.

131230240344 is a `hidden beast` number, since 1 + 3 + 12 + 302 + 4 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 820164 + ... + 967020.

It is an arithmetic number, because the mean of its divisors is an integer number (2638817973).

Almost surely, 2131230240344 is an apocalyptic number.

131230240344 is a gapful number since it is divisible by the number (14) 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 131230240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211105437840).

131230240344 is an abundant number, since it is smaller than the sum of its proper divisors (290980635336).

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

131230240344 is a wasteful number, since it uses less digits than its factorization.

131230240344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147079 (or 147066 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131230240344 its reverse (443042032131), we get a palindrome (574272272475).

The spelling of 131230240344 in words is "one hundred thirty-one billion, two hundred thirty million, two hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 197 216 252 324 378 394 504 567 591 648 756 788 1134 1182 1379 1512 1576 1773 2268 2364 2758 3546 4137 4536 4728 5319 5516 7092 8274 10638 11032 12411 14184 15957 16548 21276 24822 31914 33096 37233 42552 49644 63828 74466 99288 111699 127656 146857 148932 223398 293714 297864 440571 446796 587428 881142 893592 1027999 1174856 1321713 1762284 2055998 2643426 3083997 3524568 3965139 4111996 5286852 6167994 7930278 8223992 9251991 10573704 11895417 12335988 15860556 18503982 23790834 24671976 27755973 28930829 31721112 37007964 47581668 55511946 57861658 74015928 83267919 86792487 95163336 111023892 115723316 166535838 173584974 202515803 222047784 231446632 260377461 333071676 347169948 405031606 520754922 607547409 666143352 694339896 781132383 810063212 1041509844 1215094818 1562264766 1620126424 1822642227 2083019688 2343397149 2430189636 3124529532 3645284454 4686794298 4860379272 5467926681 6249059064 7290568908 9373588596 10935853362 14581137816 16403780043 18747177192 21871706724 32807560086 43743413448 65615120172 131230240344