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131142343664 = 24157383136309
BaseRepresentation
bin111101000100010110…
…0010101101111110000
3110112111112110022112102
41322020230111233300
54122034414444124
6140125043315532
712321554346233
oct1721054255760
9415445408472
10131142343664
1150687485902
12214bb37bba8
13c49c75ca27
1464c10ab41a
1536282b0aae
hex1e88b15bf0

131142343664 has 40 divisors (see below), whose sum is σ = 256376209920. Its totient is φ = 64982930688.

The previous prime is 131142343583. The next prime is 131142343681. The reversal of 131142343664 is 466343241131.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 893942 + ... + 1030250.

It is an arithmetic number, because the mean of its divisors is an integer number (6409405248).

Almost surely, 2131142343664 is an apocalyptic number.

It is an amenable number.

131142343664 is a deficient number, since it is larger than the sum of its proper divisors (125233866256).

131142343664 is a wasteful number, since it uses less digits than its factorization.

131142343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136857 (or 136851 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

Adding to 131142343664 its reverse (466343241131), we get a palindrome (597485584795).

The spelling of 131142343664 in words is "one hundred thirty-one billion, one hundred forty-two million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 157 314 383 628 766 1256 1532 2512 3064 6128 60131 120262 136309 240524 272618 481048 545236 962096 1090472 2180944 21400513 42801026 52206347 85602052 104412694 171204104 208825388 342408208 417650776 835301552 8196396479 16392792958 32785585916 65571171832 131142343664