Search a number
-
+
44004082640 = 2457292709611
BaseRepresentation
bin101000111110110110…
…010000001111010000
311012120201110000021112
4220332312100033100
51210110021121030
632114252112452
73115314350060
oct507666201720
9135521400245
1044004082640
1117731180651
128640a65728
1341c37a332b
1421b62a53a0
1512282b6a95
hexa3ed903d0

44004082640 has 80 divisors (see below), whose sum is σ = 120957079680. Its totient is φ = 14566863360.

The previous prime is 44004082613. The next prime is 44004082643. The reversal of 44004082640 is 4628040044.

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

It is a junction number, because it is equal to n+sod(n) for n = 44004082597 and 44004082606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004082643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338566 + ... + 1371045.

It is an arithmetic number, because the mean of its divisors is an integer number (1511963496).

Almost surely, 244004082640 is an apocalyptic number.

44004082640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44004082640 is an abundant number, since it is smaller than the sum of its proper divisors (76952997040).

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

44004082640 is a wasteful number, since it uses less digits than its factorization.

44004082640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709660 (or 2709654 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The spelling of 44004082640 in words is "forty-four billion, four million, eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 2709611 5419222 10838444 13548055 18967277 21676888 27096110 37934554 43353776 54192220 75869108 78578719 94836385 108384440 151738216 157157438 189672770 216768880 303476432 314314876 379345540 392893595 550051033 628629752 758691080 785787190 1100102066 1257259504 1517382160 1571574380 2200204132 2750255165 3143148760 4400408264 5500510330 6286297520 8800816528 11001020660 22002041320 44004082640