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141342144 = 2633123747
BaseRepresentation
bin10000110110010…
…11010111000000
3100211221220222020
420123023113000
5242140422034
622005241440
73334250136
oct1033132700
9324856866
10141342144
1172869499
123b403280
132338a208
1414ab3756
15c61e249
hex86cb5c0

141342144 has 56 divisors (see below), whose sum is σ = 386047488. Its totient is φ = 45592320.

The previous prime is 141342137. The next prime is 141342163. The reversal of 141342144 is 441243141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5922 + ... + 17825.

Almost surely, 2141342144 is an apocalyptic number.

It is an amenable number.

141342144 is an abundant number, since it is smaller than the sum of its proper divisors (244705344).

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

141342144 is a wasteful number, since it uses less digits than its factorization.

141342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793 (or 23783 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141342144 is about 11888.7402192158. The cubic root of 141342144 is about 520.9034393325.

Adding to 141342144 its reverse (441243141), we get a palindrome (582585285).

The spelling of 141342144 in words is "one hundred forty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 23747 47494 71241 94988 142482 189976 284964 379952 569928 736157 759904 1139856 1472314 1519808 2208471 2279712 2944628 4416942 4559424 5889256 8833884 11778512 17667768 23557024 35335536 47114048 70671072 141342144