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142391456 = 2517289173
BaseRepresentation
bin10000111110010…
…11100010100000
3100220221020100122
420133023202200
5242423011311
622043535412
73346210304
oct1037134240
9326836318
10142391456
1173415899
123b82a568
13236669cc
1414ca7d04
15c77a0db
hex87cb8a0

142391456 has 72 divisors (see below), whose sum is σ = 302880060. Its totient is φ = 65871872.

The previous prime is 142391419. The next prime is 142391467. The reversal of 142391456 is 654193241.

It can be written as a sum of positive squares in 6 ways, for example, as 119159056 + 23232400 = 10916^2 + 4820^2 .

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822986 + ... + 823158.

Almost surely, 2142391456 is an apocalyptic number.

142391456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142391456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151440030).

142391456 is an abundant number, since it is smaller than the sum of its proper divisors (160488604).

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

142391456 is a wasteful number, since it uses less digits than its factorization.

142391456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 142391456 is about 11932.7891123576. The cubic root of 142391456 is about 522.1893100396.

The spelling of 142391456 in words is "one hundred forty-two million, three hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 89 136 173 178 272 289 346 356 544 578 692 712 1156 1384 1424 1513 2312 2768 2848 2941 3026 4624 5536 5882 6052 9248 11764 12104 15397 23528 24208 25721 30794 47056 48416 49997 51442 61588 94112 99994 102884 123176 199988 205768 246352 261749 399976 411536 492704 523498 799952 823072 1046996 1599904 2093992 4187984 4449733 8375968 8899466 17798932 35597864 71195728 142391456