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42403334420412 = 223271753231859491
BaseRepresentation
bin10011010010000110010111…
…01011110111011110111100
312120010201102021122100011200
421221003023223313132330
521024214012102423122
6230103453425415500
711634353104414110
oct1151031353673674
9176121367570150
1042403334420412
11125691759116a9
12490a072a9a590
131a878042114a4
14a68491d07740
154d801c1e45ac
hex2690cbaf77bc

42403334420412 has 144 divisors (see below), whose sum is σ = 129728753586432. Its totient is φ = 11400429058560.

The previous prime is 42403334420407. The next prime is 42403334420417. The reversal of 42403334420412 is 21402443330424.

42403334420412 is a `hidden beast` number, since 4 + 2 + 403 + 3 + 3 + 44 + 204 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42403334420407) and next prime (42403334420417).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42403334420417) 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, 21873987 + ... + 23733477.

It is an arithmetic number, because the mean of its divisors is an integer number (900894122128).

Almost surely, 242403334420412 is an apocalyptic number.

42403334420412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42403334420412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864376793216).

42403334420412 is an abundant number, since it is smaller than the sum of its proper divisors (87325419166020).

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

42403334420412 is a wasteful number, since it uses less digits than its factorization.

42403334420412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864848 (or 1864843 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42403334420412 its reverse (21402443330424), we get a palindrome (63805777750836).

The spelling of 42403334420412 in words is "forty-two trillion, four hundred three billion, three hundred thirty-four million, four hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 5323 10646 15969 21292 31938 37261 47907 63876 74522 90491 95814 111783 149044 180982 191628 223566 271473 335349 361964 447132 542946 633437 670698 814419 1085892 1266874 1341396 1628838 1859491 1900311 2533748 3257676 3718982 3800622 5578473 5700933 7437964 7601244 11156946 11401866 13016437 16735419 22313892 22803732 26032874 31611347 33470838 39049311 52065748 63222694 66941676 78098622 94834041 117147933 126445388 156197244 189668082 221279429 234295866 284502123 379336164 442558858 468591732 569004246 663838287 885117716 1138008492 1327676574 1991514861 2655353148 3983029722 7966059444 9898070593 19796141186 29694211779 39592282372 59388423558 69286494151 89082635337 118776847116 138572988302 168267200081 178165270674 207859482453 277145976604 336534400162 356330541348 415718964906 504801600243 623578447359 673068800324 831437929812 1009603200486 1177870400567 1247156894718 1514404800729 2019206400972 2355740801134 2494313789436 3028809601458 3533611201701 4711481602268 6057619202916 7067222403402 10600833605103 14134444806804 21201667210206 42403334420412