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34010140311 = 32729103180731
BaseRepresentation
bin11111101011001010…
…011000111010010111
310020210020002010201100
4133223022120322113
51024123043442221
623342443201143
72312542265010
oct375312307227
9106706063640
1034010140311
1113472923884
126711b161b3
1332901271a4
141908c7c007
15d40c03926
hex7eb298e97

34010140311 has 48 divisors (see below), whose sum is σ = 58643919360. Its totient is φ = 18581935680.

The previous prime is 34010140271. The next prime is 34010140343. The reversal of 34010140311 is 11304101043.

34010140311 is a `hidden beast` number, since 340 + 1 + 0 + 14 + 0 + 311 = 666.

It is not a de Polignac number, because 34010140311 - 26 = 34010140247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010142311) 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, 97816 + ... + 278546.

It is an arithmetic number, because the mean of its divisors is an integer number (1221748320).

Almost surely, 234010140311 is an apocalyptic number.

34010140311 is a deficient number, since it is larger than the sum of its proper divisors (24633779049).

34010140311 is a wasteful number, since it uses less digits than its factorization.

34010140311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180876 (or 180873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 34010140311 its reverse (11304101043), we get a palindrome (45314241354).

The spelling of 34010140311 in words is "thirty-four billion, ten million, one hundred forty thousand, three hundred eleven".

Divisors: 1 3 7 9 21 29 63 87 103 203 261 309 609 721 927 1827 2163 2987 6489 8961 20909 26883 62727 180731 188181 542193 1265117 1626579 3795351 5241199 11386053 15723597 18615293 36688393 47170791 55845879 110065179 130307051 167537637 330195537 390921153 539843497 1172763459 1619530491 3778904479 4858591473 11336713437 34010140311