Search a number
-
+
44244277728 = 2537361318223
BaseRepresentation
bin101001001101001010…
…100001100111100000
311020012110102011222220
4221031022201213200
51211103013341403
632154152231040
73124262104230
oct511512414740
9136173364886
1044244277728
1117844817792
1286a939b480
134231491bc1
1421da14bcc0
15123e410953
hexa4d2a19e0

44244277728 has 96 divisors (see below), whose sum is σ = 132776856576. Its totient is φ = 12637029888.

The previous prime is 44244277723. The next prime is 44244277733. The reversal of 44244277728 is 82777244244.

It is an interprime number because it is at equal distance from previous prime (44244277723) and next prime (44244277733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×442442777282 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44244277723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2418825 + ... + 2437047.

It is an arithmetic number, because the mean of its divisors is an integer number (1383092256).

Almost surely, 244244277728 is an apocalyptic number.

44244277728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44244277728 is an abundant number, since it is smaller than the sum of its proper divisors (88532578848).

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

44244277728 is a wasteful number, since it uses less digits than its factorization.

44244277728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21856 (or 21848 counting only the distinct ones).

The product of its digits is 5619712, while the sum is 51.

The spelling of 44244277728 in words is "forty-four billion, two hundred forty-four million, two hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3613 7226 10839 14452 18223 21678 25291 28904 36446 43356 50582 54669 57808 72892 75873 86712 101164 109338 115616 127561 145784 151746 173424 202328 218676 255122 291568 303492 346848 382683 404656 437352 510244 583136 606984 765366 809312 874704 1020488 1213968 1530732 1749408 2040976 2427936 3061464 4081952 6122928 12245856 65839699 131679398 197519097 263358796 395038194 460877893 526717592 790076388 921755786 1053435184 1382633679 1580152776 1843511572 2106870368 2765267358 3160305552 3687023144 5530534716 6320611104 7374046288 11061069432 14748092576 22122138864 44244277728