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422411008080 = 243519604715319
BaseRepresentation
bin1100010010110011010…
…10000111100001010000
31111101022112211112120010
412021121222013201100
523410044204224310
6522015233514520
742342511216665
oct6113152074120
91441275745503
10422411008080
11153164002486
1269a48712a40
1330aaa687279
1416632771a6c
15aec4162320
hex6259a87850

422411008080 has 160 divisors (see below), whose sum is σ = 1378711756800. Its totient is φ = 106689747456.

The previous prime is 422411008057. The next prime is 422411008093. The reversal of 422411008080 is 80800114224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27566661 + ... + 27581979.

It is an arithmetic number, because the mean of its divisors is an integer number (8616948480).

Almost surely, 2422411008080 is an apocalyptic number.

422411008080 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 422411008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689355878400).

422411008080 is an abundant number, since it is smaller than the sum of its proper divisors (956300748720).

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

422411008080 is a wasteful number, since it uses less digits than its factorization.

422411008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21401 (or 21395 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 422411008080 in words is "four hundred twenty-two billion, four hundred eleven million, eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 6047 12094 15319 18141 24188 30235 30638 36282 45957 48376 60470 61276 72564 76595 90705 91914 96752 114893 120940 122552 145128 153190 181410 183828 229785 229786 241880 245104 290256 291061 306380 344679 362820 367656 459570 459572 483760 574465 582122 612760 689358 725640 735312 873183 919140 919144 1148930 1164244 1225520 1378716 1451280 1455305 1723395 1746366 1838280 1838288 2297860 2328488 2757432 2910610 3446790 3492732 3676560 4365915 4595720 4656976 5514864 5821220 6893580 6985464 8731830 9191440 11642440 13787160 13970928 17463660 23284880 27574320 34927320 69854640 92633993 185267986 277901979 370535972 463169965 555803958 741071944 926339930 1111607916 1389509895 1482143888 1760045867 1852679860 2223215832 2779019790 3520091734 3705359720 4446431664 5280137601 5558039580 7040183468 7410719440 8800229335 10560275202 11116079160 14080366936 17600458670 21120550404 22232158320 26400688005 28160733872 35200917340 42241100808 52801376010 70401834680 84482201616 105602752020 140803669360 211205504040 422411008080