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142925288688 = 243271367162791
BaseRepresentation
bin1000010100011100000…
…0101101010011110000
3111122220201010221102200
42011013000231103300
54320202333214223
6145354200543200
713216551623520
oct2050700552360
9448821127380
10142925288688
11556836658a6
1223849481b00
1310629948450
146cbbd47680
153ab7958a43
hex214702d4f0

142925288688 has 240 divisors, whose sum is σ = 499649020416. Its totient is φ = 37131747840.

The previous prime is 142925288687. The next prime is 142925288707. The reversal of 142925288688 is 886882529241.

142925288688 is a `hidden beast` number, since 1 + 4 + 29 + 2 + 528 + 8 + 6 + 88 = 666.

It is a super-2 number, since 2×1429252886882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142925288687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796573 + ... + 959363.

Almost surely, 2142925288688 is an apocalyptic number.

142925288688 is a gapful number since it is divisible by the number (18) 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 142925288688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249824510208).

142925288688 is an abundant number, since it is smaller than the sum of its proper divisors (356723731728).

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

142925288688 is a wasteful number, since it uses less digits than its factorization.

142925288688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162892 (or 162883 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 142925288688 in words is "one hundred forty-two billion, nine hundred twenty-five million, two hundred eighty-eight thousand, six hundred eighty-eight".