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42402041120 = 255265012757
BaseRepresentation
bin100111011111010110…
…111100110100100000
311001110001220212110102
4213133112330310200
51143314410303440
631251302521532
73030522255065
oct473726746440
9131401825412
1042402041120
1116a8993509a
1282744362a8
133cc990427a
1420a35dcc6c
151182812b15
hex9df5bcd20

42402041120 has 24 divisors (see below), whose sum is σ = 100174822524. Its totient is φ = 16960816384.

The previous prime is 42402041119. The next prime is 42402041141. The reversal of 42402041120 is 2114020424.

It can be written as a sum of positive squares in 2 ways, for example, as 41970897424 + 431143696 = 204868^2 + 20764^2 .

It is a super-2 number, since 2×424020411202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42402041092 and 42402041101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132506219 + ... + 132506538.

Almost surely, 242402041120 is an apocalyptic number.

42402041120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42402041120 is an abundant number, since it is smaller than the sum of its proper divisors (57772781404).

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

42402041120 is a wasteful number, since it uses less digits than its factorization.

42402041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265012772 (or 265012764 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42402041120 its reverse (2114020424), we get a palindrome (44516061544).

The spelling of 42402041120 in words is "forty-two billion, four hundred two million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 265012757 530025514 1060051028 1325063785 2120102056 2650127570 4240204112 5300255140 8480408224 10600510280 21201020560 42402041120