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42247941120 = 2103757311
BaseRepresentation
bin100111010110001011…
…000110110000000000
311001001022221210000000
4213112023012300000
51143010433103440
631224120000000
73023641401000
oct472613066000
9131038853000
1042247941120
1116a0a952520
128230900000
133ca39cb138
14208ad68000
151174023730
hex9d62c6c00

42247941120 has 1408 divisors, whose sum is σ = 193367808000. Its totient is φ = 8778792960.

The previous prime is 42247941103. The next prime is 42247941133. The reversal of 42247941120 is 2114974224.

It is a happy number.

42247941120 is a `hidden beast` number, since 4 + 22 + 479 + 41 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3840721915 + ... + 3840721925.

Almost surely, 242247941120 is an apocalyptic number.

42247941120 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 42247941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96683904000).

42247941120 is an abundant number, since it is smaller than the sum of its proper divisors (151119866880).

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

42247941120 is an frugal number, since it uses more digits than its factorization.

42247941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42247941120 in words is "forty-two billion, two hundred forty-seven million, nine hundred forty-one thousand, one hundred twenty".