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142871904256 = 21429532
BaseRepresentation
bin1000010100001111010…
…1000100000000000000
3111122202222200201202111
42011003311010000000
54320100201414011
6145345012425104
713215333102004
oct2050365040000
9448688621674
10142871904256
1155656513334
1223833618194
131061b876723
146cb4c0c704
153ab2e11121
hex2143d44000

142871904256 has 45 divisors (see below), whose sum is σ = 285831882021. Its totient is φ = 71411761152.

The previous prime is 142871904251. The next prime is 142871904257. The reversal of 142871904256 is 652409178241.

The square root of 142871904256 is 377984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 116362854400 + 26509049856 = 341120^2 + 162816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142871904251) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 48380476 + ... + 48383428.

Almost surely, 2142871904256 is an apocalyptic number.

142871904256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142871904256 is the 377984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142871904256

142871904256 is an abundant number, since it is smaller than the sum of its proper divisors (142959977765).

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

142871904256 is an frugal number, since it uses more digits than its factorization.

142871904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 142871904256 by its sum of digits (49), we get a square (7000723308544 = 26458882).

The spelling of 142871904256 in words is "one hundred forty-two billion, eight hundred seventy-one million, nine hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2953 4096 5906 8192 11812 16384 23624 47248 94496 188992 377984 755968 1511936 3023872 6047744 8720209 12095488 17440418 24190976 34880836 48381952 69761672 139523344 279046688 558093376 1116186752 2232373504 4464747008 8929494016 17858988032 35717976064 71435952128 142871904256