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6442254324 = 22341143127331
BaseRepresentation
bin1011111111111110…
…01111111111110100
3121121222020102120000
411333333033333310
5101143204114244
62543131511300
7315434154402
oct57777177764
917558212500
106442254324
112806537030
1212b95b8530
137b88b300c
14451852472
1527a896169
hex17ffcfff4

6442254324 has 240 divisors, whose sum is σ = 19004891136. Its totient is φ = 1886068800.

The previous prime is 6442254289. The next prime is 6442254331. The reversal of 6442254324 is 4234522446.

6442254324 is a `hidden beast` number, since 644 + 2 + 2 + 5 + 4 + 3 + 2 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 19462839 + ... + 19463169.

Almost surely, 26442254324 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 6442254324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9502445568).

6442254324 is an abundant number, since it is smaller than the sum of its proper divisors (12562636812).

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

6442254324 is a wasteful number, since it uses less digits than its factorization.

6442254324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 6442254324 is about 80263.6550625499. The cubic root of 6442254324 is about 1860.7125573727.

The spelling of 6442254324 in words is "six billion, four hundred forty-two million, two hundred fifty-four thousand, three hundred twenty-four".