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44124442000 = 245323959227
BaseRepresentation
bin101001000110000001…
…011000110110010000
311012220002220220021121
4221012001120312100
51210331324121000
632134231532024
73121305366022
oct510601306620
9135802826247
1044124442000
11177931083a1
12867522a014
1342126c49a2
1421c8276012
151233b3db1a
hexa46058d90

44124442000 has 80 divisors (see below), whose sum is σ = 111331838592. Its totient is φ = 16882377600.

The previous prime is 44124441997. The next prime is 44124442009. The reversal of 44124442000 is 24442144.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×441244420002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (44124442009) by changing a digit.

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, 433614 + ... + 525613.

Almost surely, 244124442000 is an apocalyptic number.

44124442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44124442000 is an abundant number, since it is smaller than the sum of its proper divisors (67207396592).

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

44124442000 is a wasteful number, since it uses less digits than its factorization.

44124442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959273 (or 959257 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 44124442000 its reverse (24442144), we get a palindrome (44148884144).

The spelling of 44124442000 in words is "forty-four billion, one hundred twenty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 959227 1918454 3836908 4796135 7673816 9592270 15347632 19184540 22062221 23980675 38369080 44124442 47961350 76738160 88248884 95922700 110311105 119903375 176497768 191845400 220622210 239806750 352995536 383690800 441244420 479613500 551555525 882488840 959227000 1103111050 1764977680 1918454000 2206222100 2757777625 4412444200 5515555250 8824888400 11031110500 22062221000 44124442000