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44744044744 = 23717471019901
BaseRepresentation
bin101001101010111100…
…111111000011001000
311021111021210222110101
4221222330333003020
51213113433412434
632315524055144
73142541051020
oct515274770310
9137437728411
1044744044744
1117a80935083
1288088344b4
1342b0b94c29
142246682a80
15126d22eb14
hexa6af3f0c8

44744044744 has 128 divisors (see below), whose sum is σ = 104717214720. Its totient is φ = 17487360000.

The previous prime is 44744044691. The next prime is 44744044769.

It is a happy number.

44744044744 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44744044694 and 44744044703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4514194 + ... + 4524094.

It is an arithmetic number, because the mean of its divisors is an integer number (818103240).

Almost surely, 244744044744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44744044744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52358607360).

44744044744 is an abundant number, since it is smaller than the sum of its proper divisors (59973169976).

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

44744044744 is a wasteful number, since it uses less digits than its factorization.

44744044744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 46.

The spelling of 44744044744 in words is "forty-four billion, seven hundred forty-four million, forty-four thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 101 119 136 188 202 238 329 376 404 476 658 707 799 808 952 1316 1414 1598 1717 2632 2828 3196 3434 4747 5593 5656 6392 6868 9494 9901 11186 12019 13736 18988 19802 22372 24038 33229 37976 39604 44744 48076 66458 69307 79208 80699 96152 132916 138614 161398 168317 265832 277228 322796 336634 465347 554456 564893 645592 673268 930694 1000001 1129786 1178219 1346536 1861388 2000002 2259572 2356438 3257429 3722776 4000004 4519144 4712876 6514858 7000007 7910899 8000008 9425752 13029716 14000014 15821798 17000017 26059432 28000028 31643596 34000034 47000047 55376293 56000056 63287192 68000068 94000094 110752586 119000119 136000136 188000188 221505172 238000238 329000329 376000376 443010344 476000476 658000658 799000799 952000952 1316001316 1598001598 2632002632 3196003196 5593005593 6392006392 11186011186 22372022372 44744044744