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131452518144 = 283171162133
BaseRepresentation
bin111101001101100101…
…1100011111100000000
3110120022011002210221010
41322123023203330000
54123203321040034
6140215523400520
712332341653063
oct1723313437400
9416264083833
10131452518144
1150826579552
1221587223140
13c51bab091c
14651036c8da
15364562e3e9
hex1e9b2e3f00

131452518144 has 36 divisors (see below), whose sum is σ = 349855401896. Its totient is φ = 43817505792.

The previous prime is 131452518143. The next prime is 131452518151. The reversal of 131452518144 is 441815254131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131452518143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85580299 + ... + 85581834.

Almost surely, 2131452518144 is an apocalyptic number.

It is an amenable number.

131452518144 is an abundant number, since it is smaller than the sum of its proper divisors (218402883752).

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

131452518144 is an equidigital number, since it uses as much as digits as its factorization.

131452518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171162152 (or 171162138 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The spelling of 131452518144 in words is "one hundred thirty-one billion, four hundred fifty-two million, five hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 171162133 342324266 513486399 684648532 1026972798 1369297064 2053945596 2738594128 4107891192 5477188256 8215782384 10954376512 16431564768 21908753024 32863129536 43817506048 65726259072 131452518144