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142972907220 = 2234511131573931
BaseRepresentation
bin1000010100100111011…
…0010110111011010100
3111200001000202012210000
42011021312112323110
54320302031012340
6145403021331300
713221000442203
oct2051166267324
9450030665700
10142972907220
11556a852a360
1223861406b30
131063677b8b0
146cc43c123a
153abbc12d30
hex2149d96ed4

142972907220 has 480 divisors, whose sum is σ = 530413462656. Its totient is φ = 31782067200.

The previous prime is 142972907213. The next prime is 142972907243. The reversal of 142972907220 is 22709279241.

It is a happy number.

142972907220 is a `hidden beast` number, since 1 + 4 + 297 + 290 + 72 + 2 + 0 = 666.

142972907220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36368655 + ... + 36372585.

Almost surely, 2142972907220 is an apocalyptic number.

142972907220 is a gapful number since it is divisible by the number (10) 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 142972907220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265206731328).

142972907220 is an abundant number, since it is smaller than the sum of its proper divisors (387440555436).

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

142972907220 is a wasteful number, since it uses less digits than its factorization.

142972907220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 142972907220 in words is "one hundred forty-two billion, nine hundred seventy-two million, nine hundred seven thousand, two hundred twenty".