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2244060990480 = 243537389649639
BaseRepresentation
bin100000101001111100011…
…101010100110000010000
321221112022110122202121210
4200221330131110300100
5243231314103143410
64434523555020120
7321061631460201
oct40517435246020
97845273582553
102244060990480
11795778a21301
12302ab759a640
131337ca09023a
147a88260b5a8
153d58e70a220
hex20a7c754c10

2244060990480 has 160 divisors (see below), whose sum is σ = 7162982611200. Its totient is φ = 580745189376.

The previous prime is 2244060990397. The next prime is 2244060990497. The reversal of 2244060990480 is 840990604422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3129501 + ... + 3779139.

It is an arithmetic number, because the mean of its divisors is an integer number (44768641320).

Almost surely, 22244060990480 is an apocalyptic number.

2244060990480 is a gapful number since it is divisible by the number (20) 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 2244060990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581491305600).

2244060990480 is an abundant number, since it is smaller than the sum of its proper divisors (4918921620720).

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

2244060990480 is a wasteful number, since it uses less digits than its factorization.

2244060990480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650081 (or 650075 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 2244060990480 in words is "two trillion, two hundred forty-four billion, sixty million, nine hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 389 444 555 592 740 778 888 1110 1167 1480 1556 1776 1945 2220 2334 2960 3112 3890 4440 4668 5835 6224 7780 8880 9336 11670 14393 15560 18672 23340 28786 31120 43179 46680 57572 71965 86358 93360 115144 143930 172716 215895 230288 287860 345432 431790 575720 649639 690864 863580 1151440 1299278 1727160 1948917 2598556 3248195 3454320 3897834 5197112 6496390 7795668 9744585 10394224 12992780 15591336 19489170 24036643 25985560 31182672 38978340 48073286 51971120 72109929 77956680 96146572 120183215 144219858 155913360 192293144 240366430 252709571 288439716 360549645 384586288 480732860 505419142 576879432 721099290 758128713 961465720 1010838284 1153758864 1263547855 1442198580 1516257426 1922931440 2021676568 2527095710 2884397160 3032514852 3790643565 4043353136 5054191420 5768794320 6065029704 7581287130 9350254127 10108382840 12130059408 15162574260 18700508254 20216765680 28050762381 30325148520 37401016508 46751270635 56101524762 60650297040 74802033016 93502541270 112203049524 140253811905 149604066032 187005082540 224406099048 280507623810 374010165080 448812198096 561015247620 748020330160 1122030495240 2244060990480