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44054052240 = 24351116799923
BaseRepresentation
bin101001000001110100…
…110111110110010000
311012201012110201200110
4221001310313312100
51210210314132430
632123235121320
73116462160042
oct510164676620
9135635421613
1044054052240
1117757400540
128655743240
134200c4a943
1421bcb91a92
15122c8877b0
hexa41d37d90

44054052240 has 160 divisors (see below), whose sum is σ = 149876407296. Its totient is φ = 10615713280.

The previous prime is 44054052233. The next prime is 44054052269. The reversal of 44054052240 is 4225045044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44054052198 and 44054052207.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 390919 + ... + 490841.

Almost surely, 244054052240 is an apocalyptic number.

44054052240 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 44054052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74938203648).

44054052240 is an abundant number, since it is smaller than the sum of its proper divisors (105822355056).

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

44054052240 is a wasteful number, since it uses less digits than its factorization.

44054052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100117 (or 100111 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 44054052240 its reverse (4225045044), we get a palindrome (48279097284).

The spelling of 44054052240 in words is "forty-four billion, fifty-four million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 167 176 220 240 264 330 334 440 501 528 660 668 835 880 1002 1320 1336 1670 1837 2004 2505 2640 2672 3340 3674 4008 5010 5511 6680 7348 8016 9185 10020 11022 13360 14696 18370 20040 22044 27555 29392 36740 40080 44088 55110 73480 88176 99923 110220 146960 199846 220440 299769 399692 440880 499615 599538 799384 999230 1099153 1199076 1498845 1598768 1998460 2198306 2398152 2997690 3297459 3996920 4396612 4796304 5495765 5995380 6594918 7993840 8793224 10991530 11990760 13189836 16487295 16687141 17586448 21983060 23981520 26379672 32974590 33374282 43966120 50061423 52759344 65949180 66748564 83435705 87932240 100122846 131898360 133497128 166871410 183558551 200245692 250307115 263796720 266994256 333742820 367117102 400491384 500614230 550675653 667485640 734234204 800982768 917792755 1001228460 1101351306 1334971280 1468468408 1835585510 2002456920 2202702612 2753378265 2936936816 3671171020 4004913840 4405405224 5506756530 7342342040 8810810448 11013513060 14684684080 22027026120 44054052240