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44034040004232 = 23335943330893821
BaseRepresentation
bin10100000001100011110010…
…10011111111111010001000
312202220121112221220002120010
422000301321103333322020
521232423203220113412
6233352543025431520
712163232363235525
oct1200617123777210
9182817487802503
1044034040004232
1113037805687743
124b32112a9b5a0
131b75513745425
14ac338a62c14c
1551565e32933c
hex280c794ffe88

44034040004232 has 128 divisors (see below), whose sum is σ = 110711476512000. Its totient is φ = 14594775367680.

The previous prime is 44034040004179. The next prime is 44034040004239. The reversal of 44034040004232 is 23240004043044.

44034040004232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×440340400042322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44034040004232.

It is not an unprimeable number, because it can be changed into a prime (44034040004239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11524216882 + ... + 11524220702.

It is an arithmetic number, because the mean of its divisors is an integer number (864933410250).

Almost surely, 244034040004232 is an apocalyptic number.

It is an amenable number.

44034040004232 is an abundant number, since it is smaller than the sum of its proper divisors (66677436507768).

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

44034040004232 is a wasteful number, since it uses less digits than its factorization.

44034040004232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7707 counting only the distinct ones).

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

Adding to 44034040004232 its reverse (23240004043044), we get a palindrome (67274044047276).

The spelling of 44034040004232 in words is "forty-four trillion, thirty-four billion, forty million, four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 359 433 718 866 1077 1299 1436 1732 2154 2598 2872 3089 3464 3821 4308 5196 6178 7642 8616 9267 10392 11463 12356 15284 18534 22926 24712 30568 37068 45852 74136 91704 155447 310894 466341 621788 932682 1108951 1243576 1337537 1371739 1654493 1865364 2217902 2675074 2743478 3308986 3326853 3730728 4012611 4115217 4435804 4963479 5350148 5486956 6617972 6653706 8025222 8230434 8871608 9926958 10700296 10973912 11803069 13235944 13307412 16050444 16460868 19853916 23606138 26614824 32100888 32921736 35409207 39707832 47212276 70818414 94424552 141636828 283273656 480175783 593962987 960351566 1187925974 1440527349 1781888961 1920703132 2375851948 2881054698 3563777922 3841406264 4237301771 4751703896 5110728877 5762109396 7127555844 8474603542 10221457754 11524218792 12711905313 14255111688 15332186631 16949207084 20442915508 25423810626 30664373262 33898414168 40885831016 50847621252 61328746524 101695242504 122657493048 1834751666843 3669503333686 5504255000529 7339006667372 11008510001058 14678013334744 22017020002116 44034040004232