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131145402544 = 24131374602239
BaseRepresentation
bin111101000100011100…
…0000000100010110000
3110112111202012201112021
41322020320000202300
54122041210340134
6140125233041224
712321622346242
oct1721070004260
9415452181467
10131145402544
1150689185002
12215003b6214
13c4a0291110
1464c1666092
1536286b70b4
hex1e88e008b0

131145402544 has 40 divisors (see below), whose sum is σ = 275637358080. Its totient is φ = 60086819328.

The previous prime is 131145402517. The next prime is 131145402581. The reversal of 131145402544 is 445204541131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272624 + ... + 2329615.

It is an arithmetic number, because the mean of its divisors is an integer number (6890933952).

Almost surely, 2131145402544 is an apocalyptic number.

It is an amenable number.

131145402544 is an abundant number, since it is smaller than the sum of its proper divisors (144491955536).

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

131145402544 is a wasteful number, since it uses less digits than its factorization.

131145402544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602397 (or 4602391 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 131145402544 its reverse (445204541131), we get a palindrome (576349943675).

The spelling of 131145402544 in words is "one hundred thirty-one billion, one hundred forty-five million, four hundred two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3562 7124 14248 28496 4602239 9204478 18408956 36817912 59829107 73635824 119658214 239316428 478632856 630506743 957265712 1261013486 2522026972 5044053944 8196587659 10088107888 16393175318 32786350636 65572701272 131145402544