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142575430320 = 243254115730763
BaseRepresentation
bin1000010011001000101…
…0000110101010110000
3111122000022211021222100
42010302022012222300
54313443302232240
6145255342140400
713205103106341
oct2046212065260
9448008737870
10142575430320
1155514128054
1223770281700
13105a231186b
146c876b60c8
153a96d9be30
hex2132286ab0

142575430320 has 240 divisors, whose sum is σ = 493634467872. Its totient is φ = 36855336960.

The previous prime is 142575430301. The next prime is 142575430343. The reversal of 142575430320 is 23034575241.

142575430320 is a `hidden beast` number, since 1 + 4 + 257 + 54 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4619259 + ... + 4650021.

Almost surely, 2142575430320 is an apocalyptic number.

142575430320 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 142575430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246817233936).

142575430320 is an abundant number, since it is smaller than the sum of its proper divisors (351059037552).

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

142575430320 is a wasteful number, since it uses less digits than its factorization.

142575430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30980 (or 30971 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 142575430320 in words is "one hundred forty-two billion, five hundred seventy-five million, four hundred thirty thousand, three hundred twenty".