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42308579280 = 24351123146997
BaseRepresentation
bin100111011001110010…
…011010111111010000
311001012120001111220210
4213121302122333100
51143121444014110
631234123404120
73025305663432
oct473162327720
9131176044823
1042308579280
1116a410a9900
128249083640
133cb343c6c6
142095030652
151179500520
hex9d9c9afd0

42308579280 has 240 divisors, whose sum is σ = 148817475072. Its totient is φ = 9925555200.

The previous prime is 42308579263. The next prime is 42308579351. The reversal of 42308579280 is 8297580324.

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 (48).

It is a congruent number.

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, 876742 + ... + 923738.

Almost surely, 242308579280 is an apocalyptic number.

42308579280 is a gapful number since it is divisible by the number (40) 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 42308579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74408737536).

42308579280 is an abundant number, since it is smaller than the sum of its proper divisors (106508895792).

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

42308579280 is a wasteful number, since it uses less digits than its factorization.

42308579280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47066 (or 47049 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 42308579280 in words is "forty-two billion, three hundred eight million, five hundred seventy-nine thousand, two hundred eighty".