Search a number
-
+
101140410242064 = 24317179692439001
BaseRepresentation
bin10110111111110010010110…
…001110011001010000010000
3111021002221002002101021211110
4112333302112032121100100
5101224041030010221224
6555035132452013320
730206103436230504
oct2677622616312020
9437087062337743
10101140410242064
112a254452947136
12b415832901240
134458665c8cb4b
141ad9317156304
15ba5d62c90929
hex5bfc96399410

101140410242064 has 80 divisors (see below), whose sum is σ = 278194293443520. Its totient is φ = 31553060352000.

The previous prime is 101140410242063. The next prime is 101140410242101. The reversal of 101140410242064 is 460242014041101.

It is not an unprimeable number, because it can be changed into a prime (101140410242063) 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 15 ways as a sum of consecutive naturals, for example, 346073437 + ... + 346365564.

It is an arithmetic number, because the mean of its divisors is an integer number (3477428668044).

Almost surely, 2101140410242064 is an apocalyptic number.

It is an amenable number.

101140410242064 is an abundant number, since it is smaller than the sum of its proper divisors (177053883201456).

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

101140410242064 is a wasteful number, since it uses less digits than its factorization.

101140410242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692439208 (or 692439202 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 101140410242064 its reverse (460242014041101), we get a palindrome (561382424283165).

The spelling of 101140410242064 in words is "one hundred one trillion, one hundred forty billion, four hundred ten million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 179 204 272 358 408 537 716 816 1074 1432 2148 2864 3043 4296 6086 8592 9129 12172 18258 24344 36516 48688 73032 146064 692439001 1384878002 2077317003 2769756004 4154634006 5539512008 8309268012 11079024016 11771463017 16618536024 23542926034 33237072048 35314389051 47085852068 70628778102 94171704136 123946581179 141257556204 188343408272 247893162358 282515112408 371839743537 495786324716 565030224816 743679487074 991572649432 1487358974148 1983145298864 2107091880043 2974717948296 4214183760086 5949435896592 6321275640129 8428367520172 12642551280258 16856735040344 25285102560516 33713470080688 50570205121032 101140410242064