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141164056 = 231117127743
BaseRepresentation
bin10000110100111…
…11111000011000
3100211121212200101
420122133320120
5242114222211
622001345144
73332606005
oct1032377030
9324555611
10141164056
1172757710
123b3381b4
1323327137
1414a688ac
15c5d65c1
hex869fe18

141164056 has 64 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 59834880.

The previous prime is 141164029. The next prime is 141164059. The reversal of 141164056 is 650461141.

141164056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1411640562 = 39854581412742272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141164059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189621 + ... + 190363.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2141164056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141164056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

141164056 is an abundant number, since it is smaller than the sum of its proper divisors (167387624).

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

141164056 is a wasteful number, since it uses less digits than its factorization.

141164056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 141164056 is about 11881.2480825880. The cubic root of 141164056 is about 520.6845717495.

The spelling of 141164056 in words is "one hundred forty-one million, one hundred sixty-four thousand, fifty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 127 136 187 254 374 508 743 748 1016 1397 1486 1496 2159 2794 2972 4318 5588 5944 8173 8636 11176 12631 16346 17272 23749 25262 32692 47498 50524 65384 94361 94996 101048 138941 188722 189992 277882 377444 555764 754888 1037971 1111528 1604137 2075942 3208274 4151884 6416548 8303768 12833096 17645507 35291014 70582028 141164056