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2432444140 = 225731560471
BaseRepresentation
bin1001000011111100…
…0010011011101100
320021112001222001201
42100333002123230
514440201203030
61041211415244
7114164301610
oct22077023354
96245058051
102432444140
111039062315
1257a754524
132c9c38279
141910a7340
15e38342ca
hex90fc26ec

2432444140 has 48 divisors (see below), whose sum is σ = 6026194944. Its totient is φ = 807076800.

The previous prime is 2432444123. The next prime is 2432444173. The reversal of 2432444140 is 414442342.

2432444140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2432444099 and 2432444108.

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, 275896 + ... + 284575.

It is an arithmetic number, because the mean of its divisors is an integer number (125545728).

Almost surely, 22432444140 is an apocalyptic number.

2432444140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432444140 is an abundant number, since it is smaller than the sum of its proper divisors (3593750804).

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

2432444140 is a wasteful number, since it uses less digits than its factorization.

2432444140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560518 (or 560516 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2432444140 is about 49319.8148820532. The cubic root of 2432444140 is about 1344.8720211006.

Adding to 2432444140 its reverse (414442342), we get a palindrome (2846886482).

The spelling of 2432444140 in words is "two billion, four hundred thirty-two million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 560471 1120942 2241884 2802355 3923297 5604710 7846594 11209420 15693188 17374601 19616485 34749202 39232970 69498404 78465940 86873005 121622207 173746010 243244414 347492020 486488828 608111035 1216222070 2432444140