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44420211240 = 23353125394703
BaseRepresentation
bin101001010111101001…
…101010001000101000
311020122201110112101220
4221113221222020220
51211433033224430
632223435142040
73131526365016
oct512751521050
9136581415356
1044420211240
1117925062189
1287382a4920
13425ba70b82
1422156678b6
15124eab4110
hexa57a6a228

44420211240 has 128 divisors (see below), whose sum is σ = 137642803200. Its totient is φ = 11456328960.

The previous prime is 44420211239. The next prime is 44420211247. The reversal of 44420211240 is 4211202444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44420211240.

It is not an unprimeable number, because it can be changed into a prime (44420211247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9442729 + ... + 9447431.

It is an arithmetic number, because the mean of its divisors is an integer number (1075334400).

Almost surely, 244420211240 is an apocalyptic number.

44420211240 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 44420211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68821401600).

44420211240 is an abundant number, since it is smaller than the sum of its proper divisors (93222591960).

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

44420211240 is a wasteful number, since it uses less digits than its factorization.

44420211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44420211240 its reverse (4211202444), we get a palindrome (48631413684).

The spelling of 44420211240 in words is "forty-four billion, four hundred twenty million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 2539 3720 4703 5078 7617 9406 10156 12695 14109 15234 18812 20312 23515 25390 28218 30468 37624 38085 47030 50780 56436 60936 70545 76170 78709 94060 101560 112872 141090 145793 152340 157418 188120 236127 282180 291586 304680 314836 393545 437379 472254 564360 583172 629672 728965 787090 874758 944508 1166344 1180635 1457930 1574180 1749516 1889016 2186895 2361270 2915860 3148360 3499032 4373790 4722540 5831720 8747580 9445080 11940917 17495160 23881834 35822751 47763668 59704585 71645502 95527336 119409170 143291004 179113755 238818340 286582008 358227510 370168427 477636680 716455020 740336854 1110505281 1432910040 1480673708 1850842135 2221010562 2961347416 3701684270 4442021124 5552526405 7403368540 8884042248 11105052810 14806737080 22210105620 44420211240