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224313140040 = 233511891909373
BaseRepresentation
bin1101000011101000011…
…0101110001101001000
3210102222202202011120120
43100322012232031020
512133343130440130
6251014213023240
722130455142133
oct3207206561510
9712882664516
10224313140040
1187148a13170
1237582024b20
13181ca467182
14abdd15121a
155c7cbbc910
hex343a1ae348

224313140040 has 128 divisors (see below), whose sum is σ = 742364611200. Its totient is φ = 53767915520.

The previous prime is 224313140039. The next prime is 224313140059. The reversal of 224313140040 is 40041313422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 837207 + ... + 1072166.

It is an arithmetic number, because the mean of its divisors is an integer number (5799723525).

Almost surely, 2224313140040 is an apocalyptic number.

224313140040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224313140040 is an abundant number, since it is smaller than the sum of its proper divisors (518051471160).

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

224313140040 is a wasteful number, since it uses less digits than its factorization.

224313140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909487 (or 1909483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 224313140040 its reverse (40041313422), we get a palindrome (264354453462).

The spelling of 224313140040 in words is "two hundred twenty-four billion, three hundred thirteen million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2136 2670 2937 3560 3916 4895 5340 5874 7832 9790 10680 11748 14685 19580 23496 29370 39160 58740 117480 1909373 3818746 5728119 7637492 9546865 11456238 15274984 19093730 21003103 22912476 28640595 38187460 42006206 45824952 57281190 63009309 76374920 84012412 105015515 114562380 126018618 168024824 169934197 210031030 229124760 252037236 315046545 339868394 420062060 504074472 509802591 630093090 679736788 840124120 849670985 1019605182 1260186180 1359473576 1699341970 1869276167 2039210364 2520372360 2549012955 3398683940 3738552334 4078420728 5098025910 5607828501 6797367880 7477104668 9346380835 10196051820 11215657002 14954209336 18692761670 20392103640 22431314004 28039142505 37385523340 44862628008 56078285010 74771046680 112156570020 224313140040