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424256730062781 = 371121371816733253
BaseRepresentation
bin110000001110110111111011…
…1101100000101111110111101
32001122011112202222022210101110
41200131233313230011332331
5421102010240344002111
64102152503503232233
7155235352162336410
oct14035576754057675
92048145688283343
10424256730062781
111131aa2a5852300
123b6bb9685a8679
1315296312abb965
1476aa1c7387b77
15340ad57a315a6
hex181dbf7b05fbd

424256730062781 has 96 divisors (see below), whose sum is σ = 719742406166784. Its totient is φ = 217575611827200.

The previous prime is 424256730062773. The next prime is 424256730062801. The reversal of 424256730062781 is 187260037652424.

It is a happy number.

It is not a de Polignac number, because 424256730062781 - 23 = 424256730062773 is a prime.

It is a super-3 number, since 3×4242567300627813 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424256730062381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59642551 + ... + 66375803.

It is an arithmetic number, because the mean of its divisors is an integer number (7497316730904).

Almost surely, 2424256730062781 is an apocalyptic number.

It is an amenable number.

424256730062781 is a deficient number, since it is larger than the sum of its proper divisors (295485676104003).

424256730062781 is a wasteful number, since it uses less digits than its factorization.

424256730062781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733603 (or 6733592 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 424256730062781 in words is "four hundred twenty-four trillion, two hundred fifty-six billion, seven hundred thirty million, sixty-two thousand, seven hundred eighty-one".

Divisors: 1 3 7 11 21 33 77 121 137 181 231 363 411 543 847 959 1267 1507 1991 2541 2877 3801 4521 5973 10549 13937 16577 21901 24797 31647 41811 49731 65703 74391 116039 153307 173579 272767 348117 459921 520737 818301 1909369 3000437 5728107 6733253 9001311 20199759 21003059 47132771 63009177 74065783 141398313 222197349 518460481 814723613 922455661 1218718793 1555381443 2444170839 2767366983 3656156379 5703065291 6457189627 8531031551 10147012271 13405906723 17109195873 19371568881 25593094653 30441036813 40217720169 71029085897 93841347061 111617134981 147464973953 166964474641 213087257691 281524041183 334851404943 442394921859 500893423923 781319944867 1032254817671 1168751322487 1836609221051 2343959834601 3096764453013 3506253967461 5509827663153 12856264547357 20202701431561 38568793642071 60608104294683 141418910020927 424256730062781