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20444131000 = 2353181112951
BaseRepresentation
bin10011000010100100…
…001010111010111000
31221202210020110110001
4103002210022322320
5313332144143000
613220352402344
71322424150316
oct230244127270
957683213401
1020444131000
1187411a7237
123b668463b4
131c0a6cb147
14dbd2970b6
157e9c4a46a
hex4c290aeb8

20444131000 has 64 divisors (see below), whose sum is σ = 48103997760. Its totient is φ = 8132400000.

The previous prime is 20444130991. The next prime is 20444131021. The reversal of 20444131000 is 13144402.

It is a super-2 number, since 2×204441310002 (a number of 21 digits) contains 22 as substring.

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, 124525 + ... + 237475.

It is an arithmetic number, because the mean of its divisors is an integer number (751624965).

Almost surely, 220444131000 is an apocalyptic number.

20444131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24051998880).

20444131000 is an abundant number, since it is smaller than the sum of its proper divisors (27659866760).

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

20444131000 is a wasteful number, since it uses less digits than its factorization.

20444131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113153 (or 113139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20444131000 its reverse (13144402), we get a palindrome (20457275402).

The spelling of 20444131000 in words is "twenty billion, four hundred forty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 4525 7240 9050 18100 22625 36200 45250 90500 112951 181000 225902 451804 564755 903608 1129510 2259020 2823775 4518040 5647550 11295100 14118875 20444131 22590200 28237750 40888262 56475500 81776524 102220655 112951000 163553048 204441310 408882620 511103275 817765240 1022206550 2044413100 2555516375 4088826200 5111032750 10222065500 20444131000