Search a number
-
+
70113305941281 = 32172633525149429
BaseRepresentation
bin11111111000100100001101…
…01100011101010100100001
3100012020202200211201222001100
433330102012230131110201
533142214022310110111
6405041335203025013
720524343040162201
oct1774220654352441
9305222624658040
1070113305941281
1120381982398909
127a4451836b169
13301786c0b6285
141345705b30401
15818c1be66756
hex3fc486b1d521

70113305941281 has 48 divisors (see below), whose sum is σ = 107645072895360. Its totient is φ = 43823260224000.

The previous prime is 70113305941253. The next prime is 70113305941313. The reversal of 70113305941281 is 18214950331107.

70113305941281 is a `hidden beast` number, since 7 + 0 + 1 + 1 + 3 + 30 + 594 + 1 + 28 + 1 = 666.

70113305941281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 70113305941281 - 27 = 70113305941153 is a prime.

It is a super-2 number, since 2×701133059412812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70113305941181) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1418440275 + ... + 1418489703.

It is an arithmetic number, because the mean of its divisors is an integer number (2242605685320).

Almost surely, 270113305941281 is an apocalyptic number.

It is an amenable number.

70113305941281 is a deficient number, since it is larger than the sum of its proper divisors (37531766954079).

70113305941281 is a wasteful number, since it uses less digits than its factorization.

70113305941281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84966 (or 84963 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 70113305941281 in words is "seventy trillion, one hundred thirteen billion, three hundred five million, nine hundred forty-one thousand, two hundred eighty-one".

Divisors: 1 3 9 17 51 153 263 789 2367 4471 13413 35251 40239 49429 105753 148287 317259 444861 599267 840293 1797801 2520879 5393403 7562637 9271013 12999827 27813039 38999481 83439117 116998443 157607221 220997059 472821663 662991177 1418464989 1742421679 1988973531 5227265037 15681795111 29621168543 88863505629 266590516887 458256901577 1374770704731 4124312114193 7790367326809 23371101980427 70113305941281