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44243400432 = 24371128342299
BaseRepresentation
bin101001001101000111…
…001011011011110000
311020012101202121120110
4221031013023123300
51211102302303212
632154121341320
73124251461430
oct511507133360
9136171677513
1044243400432
1117844278650
1286a9037840
1342312457aa
1421d9da02c0
15123e2daa3c
hexa4d1cb6f0

44243400432 has 160 divisors (see below), whose sum is σ = 143005132800. Its totient is φ = 11450914560.

The previous prime is 44243400419. The next prime is 44243400457. The reversal of 44243400432 is 23400434244.

44243400432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44243400432.

It is a congruent number.

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, 1024819 + ... + 1067117.

It is an arithmetic number, because the mean of its divisors is an integer number (893782080).

Almost surely, 244243400432 is an apocalyptic number.

44243400432 is a gapful number since it is divisible by the number (42) 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 44243400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71502566400).

44243400432 is an abundant number, since it is smaller than the sum of its proper divisors (98761732368).

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

44243400432 is a wasteful number, since it uses less digits than its factorization.

44243400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42611 (or 42605 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 44243400432 its reverse (23400434244), we get a palindrome (67643834676).

The spelling of 44243400432 in words is "forty-four billion, two hundred forty-three million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 283 308 336 462 528 566 616 849 924 1132 1232 1698 1848 1981 2264 3113 3396 3696 3962 4528 5943 6226 6792 7924 9339 11886 12452 13584 15848 18678 21791 23772 24904 31696 37356 42299 43582 47544 49808 65373 74712 84598 87164 95088 126897 130746 149424 169196 174328 253794 261492 296093 338392 348656 465289 507588 522984 592186 676784 888279 930578 1015176 1045968 1184372 1395867 1776558 1861156 2030352 2368744 2791734 3257023 3553116 3722312 4737488 5583468 6514046 7106232 7444624 9771069 11166936 11970617 13028092 14212464 19542138 22333872 23941234 26056184 35911851 39084276 47882468 52112368 71823702 78168552 83794319 95764936 131676787 143647404 156337104 167588638 191529872 251382957 263353574 287294808 335177276 395030361 502765914 526707148 574589616 670354552 790060722 921737509 1005531828 1053414296 1340709104 1580121444 1843475018 2011063656 2106828592 2765212527 3160242888 3686950036 4022127312 5530425054 6320485776 7373900072 11060850108 14747800144 22121700216 44243400432