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42213042320 = 2451277015927
BaseRepresentation
bin100111010100000101…
…111110100010010000
311000221220021201211212
4213110011332202100
51142423014323240
631220431555252
73023035640141
oct472405764220
9130856251755
1042213042320
11169a2186539
12822108bb28
133c996cc467
142086481ac8
151170e2d165
hex9d417e890

42213042320 has 80 divisors (see below), whose sum is σ = 99075944448. Its totient is φ = 16725542400.

The previous prime is 42213042301. The next prime is 42213042371. The reversal of 42213042320 is 2324031224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×422130423202 (a number of 22 digits) contains 22 as substring.

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, 7119197 + ... + 7125123.

Almost surely, 242213042320 is an apocalyptic number.

42213042320 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 42213042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49537972224).

42213042320 is an abundant number, since it is smaller than the sum of its proper divisors (56862902128).

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

42213042320 is a wasteful number, since it uses less digits than its factorization.

42213042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6762 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42213042320 its reverse (2324031224), we get a palindrome (44537073544).

The spelling of 42213042320 in words is "forty-two billion, two hundred thirteen million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 701 1016 1270 1402 2032 2540 2804 3505 5080 5608 5927 7010 10160 11216 11854 14020 23708 28040 29635 47416 56080 59270 89027 94832 118540 178054 237080 356108 445135 474160 712216 752729 890270 1424432 1505458 1780540 3010916 3561080 3763645 4154827 6021832 7122160 7527290 8309654 12043664 15054580 16619308 20774135 30109160 33238616 41548270 60218320 66477232 83096540 166193080 332386160 527663029 1055326058 2110652116 2638315145 4221304232 5276630290 8442608464 10553260580 21106521160 42213042320