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420402101330412 = 223237719757579877
BaseRepresentation
bin101111110010110100111110…
…1111010011010000111101100
32001010112001022021022122012200
41133211221331322122013230
5420100332000420033122
64050042020440101500
7154360022656613055
oct13745517572320754
92033461267278180
10420402101330412
11111a53591382733
123b1988b1164890
13150769956053a6
1475b57dab7d72c
1533909540d95ac
hex17e5a7de9a1ec

420402101330412 has 144 divisors (see below), whose sum is σ = 1094367843354240. Its totient is φ = 135976895341056.

The previous prime is 420402101330389. The next prime is 420402101330413. The reversal of 420402101330412 is 214033101204024.

420402101330412 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 210 + 1 + 3 + 30 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (420402101330413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724695018 + ... + 725274894.

It is an arithmetic number, because the mean of its divisors is an integer number (7599776689960).

Almost surely, 2420402101330412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420402101330412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547183921677120).

420402101330412 is an abundant number, since it is smaller than the sum of its proper divisors (673965742023828).

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

420402101330412 is a wasteful number, since it uses less digits than its factorization.

420402101330412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581400 (or 581395 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 420402101330412 its reverse (214033101204024), we get a palindrome (634435202534436).

The spelling of 420402101330412 in words is "four hundred twenty trillion, four hundred two billion, one hundred one million, three hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 719 757 1332 1438 1514 2157 2271 2876 3028 4314 4542 6471 6813 8628 9084 12942 13626 25884 26603 27252 28009 53206 56018 79809 84027 106412 112036 159618 168054 239427 252081 319236 336108 478854 504162 544283 579877 957708 1008324 1088566 1159754 1632849 1739631 2177132 2319508 3265698 3479262 4898547 5218893 6531396 6958524 9797094 10437786 19594188 20138471 20875572 21455449 40276942 42910898 60415413 64366347 80553884 85821796 120830826 128732694 181246239 193099041 241661652 257465388 362492478 386198082 416931563 438966889 724984956 772396164 833863126 877933778 1250794689 1316900667 1667726252 1755867556 2501589378 2633801334 3752384067 3950702001 5003178756 5267602668 7504768134 7901404002 15009536268 15426467831 15802808004 16241774893 30852935662 32483549786 46279403493 48725324679 61705871324 64967099572 92558806986 97450649358 138838210479 146175974037 185117613972 194901298716 277676420958 292351948074 315617193191 555352841916 584703896148 631234386382 946851579573 1262468772764 1893703159146 2840554738719 3787406318292 5681109477438 11362218954876 11677836148067 23355672296134 35033508444201 46711344592268 70067016888402 105100525332603 140134033776804 210201050665206 420402101330412