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10024442040 = 2335103811039
BaseRepresentation
bin10010101011000000…
…01101100010111000
3221212121202102022010
421111200031202320
5131012224121130
64334414325520
7503262231354
oct112540154270
927777672263
1010024442040
114284599748
121b391b98a0
13c39a97712
146b14c6464
153da0da0b0
hex25580d8b8

10024442040 has 64 divisors (see below), whose sum is σ = 30365337600. Its totient is φ = 2647228032.

The previous prime is 10024442039. The next prime is 10024442063. The reversal of 10024442040 is 4024442001.

It is a junction number, because it is equal to n+sod(n) for n = 10024441998 and 10024442016.

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, 393160 + ... + 417879.

It is an arithmetic number, because the mean of its divisors is an integer number (474458400).

Almost surely, 210024442040 is an apocalyptic number.

10024442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024442040 is an abundant number, since it is smaller than the sum of its proper divisors (20340895560).

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

10024442040 is a wasteful number, since it uses less digits than its factorization.

10024442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811156 (or 811152 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10024442040 its reverse (4024442001), we get a palindrome (14048884041).

The spelling of 10024442040 in words is "ten billion, twenty-four million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 811039 1622078 2433117 3244156 4055195 4866234 6488312 8110390 9732468 12165585 16220780 19464936 24331170 32441560 48662340 83537017 97324680 167074034 250611051 334148068 417685085 501222102 668296136 835370170 1002444204 1253055255 1670740340 2004888408 2506110510 3341480680 5012221020 10024442040