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44224040040 = 23351721275203
BaseRepresentation
bin101001001011111101…
…010100110001101000
311020011001100000002220
4221023331110301220
51211032323240130
632152150354040
73123625065225
oct511375246150
9136131300086
1044224040040
1117834354924
1286a265b920
13422a22753b
1421d75a094c
15123c764410
hexa4bf54c68

44224040040 has 96 divisors (see below), whose sum is σ = 140935546080. Its totient is φ = 11099358208.

The previous prime is 44224040011. The next prime is 44224040087. The reversal of 44224040040 is 4004042244.

44224040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602922 + ... + 672281.

It is an arithmetic number, because the mean of its divisors is an integer number (1468078605).

Almost surely, 244224040040 is an apocalyptic number.

44224040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44224040040 is an abundant number, since it is smaller than the sum of its proper divisors (96711506040).

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

44224040040 is a wasteful number, since it uses less digits than its factorization.

44224040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275251 (or 1275230 counting only the distinct ones).

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

Adding to 44224040040 its reverse (4004042244), we get a palindrome (48228082284).

The spelling of 44224040040 in words is "forty-four billion, two hundred twenty-four million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 1275203 2550406 3825609 5100812 6376015 7651218 10201624 12752030 15302436 19128045 21678451 25504060 30604872 38256090 43356902 51008120 65035353 76512180 86713804 108392255 130070706 153024360 173427608 216784510 260141412 325176765 368533667 433569020 520282824 650353530 737067334 867138040 1105601001 1300707060 1474134668 1842668335 2211202002 2601414120 2948269336 3685336670 4422404004 5528005005 7370673340 8844808008 11056010010 14741346680 22112020020 44224040040