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42298074000 = 24325373131731
BaseRepresentation
bin100111011001001010…
…010110001110010000
311001011211021210101100
4213121022112032100
51143111301332000
631233110304400
73025120461000
oct473112261620
9131154253340
1042298074000
1116a36184056
128245658100
133cb1201b70
142093898000
151178627a00
hex9d9296390

42298074000 has 1920 divisors, whose sum is σ = 202787020800. Its totient is φ = 8128512000.

The previous prime is 42298073957. The next prime is 42298074019. The reversal of 42298074000 is 47089224.

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 383 ways as a sum of consecutive naturals, for example, 1364453985 + ... + 1364454015.

It is an arithmetic number, because the mean of its divisors is an integer number (105618240).

Almost surely, 242298074000 is an apocalyptic number.

42298074000 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 42298074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101393510400).

42298074000 is an abundant number, since it is smaller than the sum of its proper divisors (160488946800).

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

42298074000 is a wasteful number, since it uses less digits than its factorization.

42298074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

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

The spelling of 42298074000 in words is "forty-two billion, two hundred ninety-eight million, seventy-four thousand".