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42444403040 = 2551320405963
BaseRepresentation
bin100111100001111000…
…100011000101100000
311001120000122002002102
4213201320203011200
51143411231344130
631255414505532
73031545321164
oct474170430540
9131500562072
1042444403040
1117000839246
1282866652a8
134005616bb0
1420a90a8ca4
1511863ce645
hex9e1e23160

42444403040 has 48 divisors (see below), whose sum is σ = 107988361488. Its totient is φ = 15671778816.

The previous prime is 42444403039. The next prime is 42444403097. The reversal of 42444403040 is 4030444424.

It is a happy number.

It is a super-2 number, since 2×424444030402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42444402994 and 42444403012.

It is a congruent number.

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, 10200902 + ... + 10205061.

It is an arithmetic number, because the mean of its divisors is an integer number (2249757531).

Almost surely, 242444403040 is an apocalyptic number.

42444403040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42444403040 is an abundant number, since it is smaller than the sum of its proper divisors (65543958448).

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

42444403040 is a wasteful number, since it uses less digits than its factorization.

42444403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20405991 (or 20405983 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 42444403040 its reverse (4030444424), we get a palindrome (46474847464).

The spelling of 42444403040 in words is "forty-two billion, four hundred forty-four million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 20405963 40811926 81623852 102029815 163247704 204059630 265277519 326495408 408119260 530555038 652990816 816238520 1061110076 1326387595 1632477040 2122220152 2652775190 3264954080 4244440304 5305550380 8488880608 10611100760 21222201520 42444403040