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42444264040 = 2352629340357
BaseRepresentation
bin100111100001111000…
…000001001001101000
311001120000101000102021
4213201320001021220
51143411212422130
631255411514224
73031544202013
oct474170011150
9131500330367
1042444264040
1117000753872
1282865b8974
134005598849
1420a907037a
1511863a337a
hex9e1e01268

42444264040 has 32 divisors (see below), whose sum is σ = 95505592680. Its totient is φ = 16976639232.

The previous prime is 42444264013. The next prime is 42444264053. The reversal of 42444264040 is 4046244424.

It can be written as a sum of positive squares in 4 ways, for example, as 35427521284 + 7016742756 = 188222^2 + 83766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42444263987 and 42444264005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031542 + ... + 1071898.

Almost surely, 242444264040 is an apocalyptic number.

42444264040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42444264040 is an abundant number, since it is smaller than the sum of its proper divisors (53061328640).

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

42444264040 is a wasteful number, since it uses less digits than its factorization.

42444264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66661 (or 66657 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

The spelling of 42444264040 in words is "forty-two billion, four hundred forty-four million, two hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 26293 40357 52586 80714 105172 131465 161428 201785 210344 262930 322856 403570 525860 807140 1051720 1614280 1061106601 2122213202 4244426404 5305533005 8488852808 10611066010 21222132020 42444264040