Search a number
-
+
105422040514 = 2759317457881
BaseRepresentation
bin110001000101110100…
…1001010110111000010
3101002010001011112120001
41202023221022313002
53211401020244024
6120232532110214
710421312362540
oct1421351126702
9332101145501
10105422040514
1140788aa241a
121852176536a
139c30c28a3b
1451611c2d90
152b2025a244
hex188ba4adc2

105422040514 has 64 divisors (see below), whose sum is σ = 184979531520. Its totient is φ = 44127959040.

The previous prime is 105422040509. The next prime is 105422040527. The reversal of 105422040514 is 415040224501.

It is a super-2 number, since 2×1054220405142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119661354 + ... + 119662234.

It is an arithmetic number, because the mean of its divisors is an integer number (2890305180).

Almost surely, 2105422040514 is an apocalyptic number.

105422040514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105422040514 is a deficient number, since it is larger than the sum of its proper divisors (79557491006).

105422040514 is a wasteful number, since it uses less digits than its factorization.

105422040514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723.

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 105422040514 in words is "one hundred five billion, four hundred twenty-two million, forty thousand, five hundred fourteen".

Divisors: 1 2 7 14 59 118 317 413 457 634 826 881 914 1762 2219 3199 4438 6167 6398 12334 18703 26963 37406 51979 53926 103958 130921 144869 188741 261842 279277 289738 363853 377482 402617 558554 727706 805234 1014083 1954939 2028166 2818319 3909878 5636638 8547271 16477343 17094542 23754403 32954686 47508806 59830897 115341401 119661794 127629589 166280821 230682802 255259178 332561642 893407123 1786814246 7530145751 15060291502 52711020257 105422040514