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28442223320040 = 2333531849528773
BaseRepresentation
bin1100111011110001110001…
…00111100001101111101000
310201201001100110001011202000
412131320320213201233220
512211444133132220130
6140254102122411000
75663611544156445
oct635707047415750
9121631313034660
1028442223320040
119076308638992
123234363060a60
1312b41230a376a
1470487a6589cc
15344caa4a3260
hex19de389e1be8

28442223320040 has 128 divisors (see below), whose sum is σ = 97865714764800. Its totient is φ = 7339928590080.

The previous prime is 28442223320003. The next prime is 28442223320047. The reversal of 28442223320040 is 4002332224482.

28442223320040 is a `hidden beast` number, since 2 + 8 + 4 + 422 + 23 + 3 + 200 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28442223319977 and 28442223320004.

It is not an unprimeable number, because it can be changed into a prime (28442223320047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424730907 + ... + 424797866.

It is an arithmetic number, because the mean of its divisors is an integer number (764575896600).

Almost surely, 228442223320040 is an apocalyptic number.

28442223320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28442223320040 is an abundant number, since it is smaller than the sum of its proper divisors (69423491444760).

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

28442223320040 is a wasteful number, since it uses less digits than its factorization.

28442223320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849528824 (or 849528814 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 28442223320040 in words is "twenty-eight trillion, four hundred forty-two billion, two hundred twenty-three million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 849528773 1699057546 2548586319 3398115092 4247643865 5097172638 6796230184 7645758957 8495287730 10194345276 12742931595 15291517914 16990575460 20388690552 22937276871 25485863190 26335391963 30583035828 33981150920 38228794785 45874553742 50971726380 52670783926 61166071656 76457589570 79006175889 91749107484 101943452760 105341567852 114686384355 131676959815 152915179140 158012351778 183498214968 210683135704 229372768710 237018527667 263353919630 305830358280 316024703556 395030879445 458745537420 474037055334 526707839260 632049407112 711055583001 790061758890 917491074840 948074110668 1053415678520 1185092638335 1422111166002 1580123517780 1896148221336 2370185276670 2844222332004 3160247035560 3555277915005 4740370553340 5688444664008 7110555830010 9480741106680 14221111660020 28442223320040