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44244141444240 = 2435331556950421
BaseRepresentation
bin10100000111101011001000…
…10101011000110010010000
312210122200212021211002201020
422003311210111120302100
521244344000202203430
6234033251124435440
712214351033065123
oct1203654425306220
9183580767732636
1044244141444240
1113108920448271
124b66989548b80
131b8c28777ab2a
14acd5dc11a3ba
1551ad594e7b10
hex283d64558c90

44244141444240 has 80 divisors (see below), whose sum is σ = 137571209837376. Its totient is φ = 11762792870400.

The previous prime is 44244141444101. The next prime is 44244141444253. The reversal of 44244141444240 is 4244414144244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44244141444192 and 44244141444201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278395771 + ... + 278554650.

Almost surely, 244244141444240 is an apocalyptic number.

44244141444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44244141444240 is an abundant number, since it is smaller than the sum of its proper divisors (93327068393136).

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

44244141444240 is a wasteful number, since it uses less digits than its factorization.

44244141444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556950768 (or 556950762 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 42.

Adding to 44244141444240 its reverse (4244414144244), we get a palindrome (48488555588484).

The spelling of 44244141444240 in words is "forty-four trillion, two hundred forty-four billion, one hundred forty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 13240 15888 19860 26480 39720 79440 556950421 1113900842 1670851263 2227801684 2784752105 3341702526 4455603368 5569504210 6683405052 8354256315 8911206736 11139008420 13366810104 16708512630 22278016840 26733620208 33417025260 44556033680 66834050520 133668101040 184350589351 368701178702 553051768053 737402357404 921752946755 1106103536106 1474804714808 1843505893510 2212207072212 2765258840265 2949609429616 3687011787020 4424414144424 5530517680530 7374023574040 8848828288848 11061035361060 14748047148080 22122070722120 44244141444240