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44141440 = 275759167
BaseRepresentation
bin1010100001100…
…0101110000000
310002001121200011
42220120232000
542300011230
64214034304
71044124150
oct250305600
9102047604
1044141440
1122a0a132
1212948994
1391b68c5
145c10760
153d1de2a
hex2a18b80

44141440 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 14788608.

The previous prime is 44141431. The next prime is 44141441. The reversal of 44141440 is 4414144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44141441) 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, 264237 + ... + 264403.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 244141440 is an apocalyptic number.

44141440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

44141440 is an abundant number, since it is smaller than the sum of its proper divisors (79237760).

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

44141440 is a wasteful number, since it uses less digits than its factorization.

44141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 44141440 is about 6643.9024676767. The cubic root of 44141440 is about 353.4127110930.

Adding to 44141440 its reverse (4414144), we get a palindrome (48555584).

The spelling of 44141440 in words is "forty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 167 224 236 280 295 320 334 413 448 472 560 590 640 668 826 835 896 944 1120 1169 1180 1336 1652 1670 1888 2065 2240 2338 2360 2672 3304 3340 3776 4130 4480 4676 4720 5344 5845 6608 6680 7552 8260 9352 9440 9853 10688 11690 13216 13360 16520 18704 18880 19706 21376 23380 26432 26720 33040 37408 37760 39412 46760 49265 52864 53440 66080 68971 74816 78824 93520 98530 106880 132160 137942 149632 157648 187040 197060 264320 275884 315296 344855 374080 394120 551768 630592 689710 748160 788240 1103536 1261184 1379420 1576480 2207072 2758840 3152960 4414144 5517680 6305920 8828288 11035360 22070720 44141440