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141251664 = 2435949877
BaseRepresentation
bin10000110101101…
…01010001010000
3100211210022212010
420122311101100
5242130023124
622003302520
73333422301
oct1032652120
9324708763
10141251664
1172807514
123b37aa40
1323357c88
1414a8c7a8
15c602529
hex86b5450

141251664 has 40 divisors (see below), whose sum is σ = 371092320. Its totient is φ = 46284928.

The previous prime is 141251659. The next prime is 141251687. The reversal of 141251664 is 466152141.

141251664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22107 + ... + 27770.

It is an arithmetic number, because the mean of its divisors is an integer number (9277308).

Almost surely, 2141251664 is an apocalyptic number.

It is an amenable number.

141251664 is an abundant number, since it is smaller than the sum of its proper divisors (229840656).

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

141251664 is a wasteful number, since it uses less digits than its factorization.

141251664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49947 (or 49941 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 141251664 is about 11884.9343288047. The cubic root of 141251664 is about 520.7922637070.

The spelling of 141251664 in words is "one hundred forty-one million, two hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 49877 99754 149631 199508 299262 399016 598524 798032 1197048 2394096 2942743 5885486 8828229 11770972 17656458 23541944 35312916 47083888 70625832 141251664