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420324423024 = 243116983114001
BaseRepresentation
bin1100001110111010100…
…10011011010101110000
31111011221010120000222010
412013131102123111300
523341311023014044
6521032215042520
742240013434432
oct6073522332560
91434833500863
10420324423024
111522931a7220
1269565970440
13308372b545c
14164b55b8652
15ae00d99bb9
hex61dd49b570

420324423024 has 80 divisors (see below), whose sum is σ = 1184730672384. Its totient is φ = 127351680000.

The previous prime is 420324423019. The next prime is 420324423041.

420324423024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420324422982 and 420324423000.

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, 3630024 + ... + 3744024.

Almost surely, 2420324423024 is an apocalyptic number.

420324423024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420324423024 is an abundant number, since it is smaller than the sum of its proper divisors (764406249360).

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

420324423024 is a wasteful number, since it uses less digits than its factorization.

420324423024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121006 (or 121000 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 420324 and 423024, that added together give a palindrome (843348).

The spelling of 420324423024 in words is "four hundred twenty billion, three hundred twenty-four million, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 6983 13966 20949 27932 41898 55864 76813 83796 111728 114001 153626 167592 228002 230439 307252 335184 342003 456004 460878 614504 684006 912008 921756 1229008 1254011 1368012 1824016 1843512 2508022 2736024 3687024 3762033 5016044 5472048 7524066 10032088 15048132 20064176 30096264 60192528 796068983 1592137966 2388206949 3184275932 4776413898 6368551864 8756758813 9552827796 12737103728 17513517626 19105655592 26270276439 35027035252 38211311184 52540552878 70054070504 105081105756 140108141008 210162211512 420324423024