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142231562496 = 28310972
BaseRepresentation
bin1000010001110110101…
…0010110100100000000
3111121010100210000000000
42010131222112210000
54312242234444441
6145201300000000
713163426222262
oct2043552264400
9447110700000
10142231562496
1155358011071
1223695090000
1310548cc488a
146c53b63b32
153a76ac52b6
hex211da96900

142231562496 has 297 divisors, whose sum is σ = 430294454121. Its totient is φ = 46921752576.

The previous prime is 142231562477. The next prime is 142231562497. The reversal of 142231562496 is 694265132241.

The square root of 142231562496 is 377136.

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

142231562496 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 3 + 15 + 624 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63867398400 + 78364164096 = 252720^2 + 279936^2 .

Its product of digits (622080) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (142231562497) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1466304720 + ... + 1466304816.

Almost surely, 2142231562496 is an apocalyptic number.

142231562496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142231562496 is the 377136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142231562496

142231562496 is an abundant number, since it is smaller than the sum of its proper divisors (288062891625).

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

142231562496 is an frugal number, since it uses more digits than its factorization.

142231562496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 102 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 142231562496 in words is "one hundred forty-two billion, two hundred thirty-one million, five hundred sixty-two thousand, four hundred ninety-six".