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20444240040 = 2335724338381
BaseRepresentation
bin10011000010100100…
…100101100010101000
31221202210110000000120
4103002210211202220
5313332211140130
613220355003240
71322425113240
oct230244454250
957683400016
1020444240040
118741271154
123b66899520
131c0a738973
14dbd2c4b20
157e9c6c910
hex4c29258a8

20444240040 has 64 divisors (see below), whose sum is σ = 70094540160. Its totient is φ = 4672968960.

The previous prime is 20444240029. The next prime is 20444240077. The reversal of 20444240040 is 4004244402.

It is a super-3 number, since 3×204442400403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12168351 + ... + 12170030.

It is an arithmetic number, because the mean of its divisors is an integer number (1095227190).

Almost surely, 220444240040 is an apocalyptic number.

20444240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444240040 is an abundant number, since it is smaller than the sum of its proper divisors (49650300120).

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

20444240040 is a wasteful number, since it uses less digits than its factorization.

20444240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24338402 (or 24338398 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20444240040 its reverse (4004244402), we get a palindrome (24448484442).

The spelling of 20444240040 in words is "twenty billion, four hundred forty-four million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 24338381 48676762 73015143 97353524 121691905 146030286 170368667 194707048 243383810 292060572 340737334 365075715 486767620 511106001 584121144 681474668 730151430 851843335 973535240 1022212002 1362949336 1460302860 1703686670 2044424004 2555530005 2920605720 3407373340 4088848008 5111060010 6814746680 10222120020 20444240040