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42021335224 = 231110139711909
BaseRepresentation
bin100111001000101010…
…101011000010111000
311000110112120000011001
4213020222223002320
51142024430211344
631145423014344
73015220312261
oct471052530270
9130415500131
1042021335224
1116903a48120
128188a3a3b4
133c68a899cb
142068c1b968
15115e1b0ed4
hex9c8aab0b8

42021335224 has 64 divisors (see below), whose sum is σ = 87029704800. Its totient is φ = 18862272000.

The previous prime is 42021335197. The next prime is 42021335273. The reversal of 42021335224 is 42253312024.

It is a super-2 number, since 2×420213352242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42021335192 and 42021335201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522582 + ... + 3534490.

Almost surely, 242021335224 is an apocalyptic number.

42021335224 is a gapful number since it is divisible by the number (44) 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 42021335224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43514852400).

42021335224 is an abundant number, since it is smaller than the sum of its proper divisors (45008369576).

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

42021335224 is a wasteful number, since it uses less digits than its factorization.

42021335224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 42021335224 its reverse (42253312024), we get a palindrome (84274647248).

The spelling of 42021335224 in words is "forty-two billion, twenty-one million, three hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 397 404 794 808 1111 1588 2222 3176 4367 4444 8734 8888 11909 17468 23818 34936 40097 47636 80194 95272 130999 160388 261998 320776 441067 523996 882134 1047992 1202809 1764268 2405618 3528536 4727873 4811236 9455746 9622472 13230899 18911492 26461798 37822984 52006603 52923596 104013206 105847192 208026412 416052824 477515173 955030346 1910060692 3820121384 5252666903 10505333806 21010667612 42021335224