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44045991120 = 24352958710781
BaseRepresentation
bin101001000001010110…
…000111110011010000
311012200122022011220110
4221001112013303100
51210201233203440
632122350241320
73116333514165
oct510126076320
9135618264813
1044045991120
11177528a505a
128652ab6240
1341cc387751
1421bba9406c
15122bce4080
hexa41587cd0

44045991120 has 160 divisors (see below), whose sum is σ = 141504693120. Its totient is φ = 11320207360.

The previous prime is 44045991107. The next prime is 44045991131. The reversal of 44045991120 is 2119954044.

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, 4080130 + ... + 4090910.

It is an arithmetic number, because the mean of its divisors is an integer number (884404332).

Almost surely, 244045991120 is an apocalyptic number.

44045991120 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 44045991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70752346560).

44045991120 is an abundant number, since it is smaller than the sum of its proper divisors (97458702000).

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

44045991120 is a wasteful number, since it uses less digits than its factorization.

44045991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 44045991120 in words is "forty-four billion, forty-five million, nine hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 587 696 870 1160 1174 1392 1740 1761 2320 2348 2935 3480 3522 4696 5870 6960 7044 8805 9392 10781 11740 14088 17023 17610 21562 23480 28176 32343 34046 35220 43124 46960 51069 53905 64686 68092 70440 85115 86248 102138 107810 129372 136184 140880 161715 170230 172496 204276 215620 255345 258744 272368 312649 323430 340460 408552 431240 510690 517488 625298 646860 680920 817104 862480 937947 1021380 1250596 1293720 1361840 1563245 1875894 2042760 2501192 2587440 3126490 3751788 4085520 4689735 5002384 6252980 6328447 7503576 9379470 12505960 12656894 15007152 18758940 18985341 25011920 25313788 31642235 37517880 37970682 50627576 63284470 75035760 75941364 94926705 101255152 126568940 151882728 183524963 189853410 253137880 303765456 367049926 379706820 506275760 550574889 734099852 759413640 917624815 1101149778 1468199704 1518827280 1835249630 2202299556 2752874445 2936399408 3670499260 4404599112 5505748890 7340998520 8809198224 11011497780 14681997040 22022995560 44045991120