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42214723452 = 223311279103397
BaseRepresentation
bin100111010100001100…
…011000111101111100
311000222000110010221000
4213110030120331330
51142423432122302
631220532010300
73023056141326
oct472414307574
9130860403830
1042214723452
11169a3124600
128221760990
133c99b6a705
14208679c616
15117116131c
hex9d4318f7c

42214723452 has 288 divisors, whose sum is σ = 123315046400. Its totient is φ = 12476280960.

The previous prime is 42214723429. The next prime is 42214723477. The reversal of 42214723452 is 25432741224.

42214723452 is a `hidden beast` number, since 42 + 2 + 147 + 23 + 452 = 666.

It is a super-2 number, since 2×422147234522 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106334118 + ... + 106334514.

Almost surely, 242214723452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42214723452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61657523200).

42214723452 is an abundant number, since it is smaller than the sum of its proper divisors (81100322948).

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

42214723452 is a wasteful number, since it uses less digits than its factorization.

42214723452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 595 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The spelling of 42214723452 in words is "forty-two billion, two hundred fourteen million, seven hundred twenty-three thousand, four hundred fifty-two".