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44253341440 = 285711448999
BaseRepresentation
bin101001001101101101…
…000110011100000000
311020020002110200001221
4221031231012130000
51211112323411230
632155114404424
73124432124110
oct511555063400
9136202420057
1044253341440
1117849948460
1286b0430714
134233316549
1421db42b040
15124010127a
hexa4db46700

44253341440 has 144 divisors (see below), whose sum is σ = 132156864000. Its totient is φ = 13793218560.

The previous prime is 44253341423. The next prime is 44253341443. The reversal of 44253341440 is 4414335244.

It is a junction number, because it is equal to n+sod(n) for n = 44253341396 and 44253341405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44253341443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125940 + ... + 323059.

It is an arithmetic number, because the mean of its divisors is an integer number (917756000).

Almost surely, 244253341440 is an apocalyptic number.

44253341440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44253341440 is an abundant number, since it is smaller than the sum of its proper divisors (87903522560).

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

44253341440 is a wasteful number, since it uses less digits than its factorization.

44253341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449038 (or 449024 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 44253341440 its reverse (4414335244), we get a palindrome (48667676684).

The spelling of 44253341440 in words is "forty-four billion, two hundred fifty-three million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2816 3080 3520 4480 4928 6160 7040 8960 9856 12320 14080 19712 24640 49280 98560 448999 897998 1795996 2244995 3142993 3591992 4489990 4938989 6285986 7183984 8979980 9877978 12571972 14367968 15714965 17959960 19755956 24694945 25143944 28735936 31429930 34572923 35919920 39511912 49389890 50287888 57471872 62859860 69145846 71839840 79023824 98779780 100575776 114943744 125719720 138291692 143679680 158047648 172864615 197559560 201151552 251439440 276583384 287359360 316095296 345729230 395119120 402303104 502878880 553166768 574718720 632190592 691458460 790238240 804606208 1005757760 1106333536 1264381184 1382916920 1580476480 2011515520 2212667072 2765833840 3160952960 4023031040 4425334144 5531667680 6321905920 8850668288 11063335360 22126670720 44253341440