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44404132240 = 245131031093803
BaseRepresentation
bin101001010110101100…
…010100100110010000
311020121121012122011101
4221112230110212100
51211414424212430
632222102354144
73131242616326
oct512654244620
9136547178141
1044404132240
1117916a7a856
128732a2b954
134258631380
14221347dd16
15124d489dca
hexa56b14990

44404132240 has 160 divisors (see below), whose sum is σ = 113320247040. Its totient is φ = 16083007488.

The previous prime is 44404132211. The next prime is 44404132291. The reversal of 44404132240 is 4223140444.

It is a junction number, because it is equal to n+sod(n) for n = 44404132199 and 44404132208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11674179 + ... + 11677981.

It is an arithmetic number, because the mean of its divisors is an integer number (708251544).

Almost surely, 244404132240 is an apocalyptic number.

44404132240 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 44404132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56660123520).

44404132240 is an abundant number, since it is smaller than the sum of its proper divisors (68916114800).

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

44404132240 is a wasteful number, since it uses less digits than its factorization.

44404132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44404132240 its reverse (4223140444), we get a palindrome (48627272684).

The spelling of 44404132240 in words is "forty-four billion, four hundred four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 109 130 206 208 218 260 412 436 515 520 545 824 872 1030 1040 1090 1339 1417 1648 1744 2060 2180 2678 2834 3803 4120 4360 5356 5668 6695 7085 7606 8240 8720 10712 11227 11336 13390 14170 15212 19015 21424 22454 22672 26780 28340 30424 38030 44908 49439 53560 56135 56680 60848 76060 89816 98878 107120 112270 113360 145951 152120 179632 197756 224540 247195 291902 304240 391709 395512 414527 449080 494390 583804 729755 783418 791024 829054 898160 988780 1167608 1459510 1566836 1658108 1958545 1977560 2072635 2335216 2919020 3133672 3316216 3917090 3955120 4145270 5092217 5388851 5838040 6267344 6632432 7834180 8290540 10184434 10777702 11676080 15668360 16581080 20368868 21555404 25461085 26944255 31336720 33162160 40737736 42696281 43110808 50922170 53888510 81475472 85392562 86221616 101844340 107777020 170785124 203688680 213481405 215554040 341570248 407377360 426962810 431108080 555051653 683140496 853925620 1110103306 1707851240 2220206612 2775258265 3415702480 4440413224 5550516530 8880826448 11101033060 22202066120 44404132240