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463226461305240 = 23356197652394881
BaseRepresentation
bin110100101010011010101000…
…0101011010011100110011000
32020202011000110112211011210210
41221110311100223103212120
5441204000243043231430
64321111144252411120
7166400002353440523
oct15124652053234630
92222130415734723
10463226461305240
1112466426a132986
1243b54484776aa0
1316b620b6146369
1482563cd411bba
1538848b39c12b0
hex1a54d50ad3998

463226461305240 has 128 divisors (see below), whose sum is σ = 1427022469091520. Its totient is φ = 120249424281600.

The previous prime is 463226461305233. The next prime is 463226461305269. The reversal of 463226461305240 is 42503164622364.

It is a super-2 number, since 2×4632264613052402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463226461305240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325487401 + ... + 326907480.

Almost surely, 2463226461305240 is an apocalyptic number.

463226461305240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463226461305240 is an abundant number, since it is smaller than the sum of its proper divisors (963796007786280).

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

463226461305240 is a wasteful number, since it uses less digits than its factorization.

463226461305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652395053 (or 652395049 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 463226461305240 in words is "four hundred sixty-three trillion, two hundred twenty-six billion, four hundred sixty-one million, three hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 97 120 122 183 194 244 291 305 366 388 485 488 582 610 732 776 915 970 1164 1220 1455 1464 1830 1940 2328 2440 2910 3660 3880 5820 5917 7320 11640 11834 17751 23668 29585 35502 47336 59170 71004 88755 118340 142008 177510 236680 355020 710040 652394881 1304789762 1957184643 2609579524 3261974405 3914369286 5219159048 6523948810 7828738572 9785923215 13047897620 15657477144 19571846430 26095795240 39143692860 39796087741 63282303457 78287385720 79592175482 119388263223 126564606914 159184350964 189846910371 198980438705 238776526446 253129213828 316411517285 318368701928 379693820742 397960877410 477553052892 506258427656 596941316115 632823034570 759387641484 795921754820 949234551855 955106105784 1193882632230 1265646069140 1518775282968 1591843509640 1898469103710 2387765264460 2531292138280 3796938207420 3860220510877 4775530528920 7593876414840 7720441021754 11580661532631 15440882043508 19301102554385 23161323065262 30881764087016 38602205108770 46322646130524 57903307663155 77204410217540 92645292261048 115806615326310 154408820435080 231613230652620 463226461305240