Search a number
-
+
44137744608 = 2531332734499
BaseRepresentation
bin101001000110110100…
…001000100011100000
311012221000221202000210
4221012310020203200
51210343230311413
632135425014120
73121526432106
oct510664104340
9135830852023
1044137744608
111779a673891
128679784340
1342153a1859
1421c9d39c76
151234dba3c3
hexa46d088e0

44137744608 has 48 divisors (see below), whose sum is σ = 115873632000. Its totient is φ = 14711051136.

The previous prime is 44137744583. The next prime is 44137744627. The reversal of 44137744608 is 80644773144.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1262143 + ... + 1296641.

It is an arithmetic number, because the mean of its divisors is an integer number (2414034000).

Almost surely, 244137744608 is an apocalyptic number.

44137744608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44137744608 is an abundant number, since it is smaller than the sum of its proper divisors (71735887392).

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

44137744608 is a wasteful number, since it uses less digits than its factorization.

44137744608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47839 (or 47831 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 44137744608 in words is "forty-four billion, one hundred thirty-seven million, seven hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13327 26654 34499 39981 53308 68998 79962 103497 106616 137996 159924 206994 213232 275992 319848 413988 426464 551984 639696 827976 1103968 1279392 1655952 3311904 459768173 919536346 1379304519 1839072692 2758609038 3678145384 5517218076 7356290768 11034436152 14712581536 22068872304 44137744608