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35540141104 = 2413617338371
BaseRepresentation
bin100001000110010110…
…111000010000110000
310101201212001020020101
4201012112320100300
51040241234003404
624154340322144
72365501133506
oct410626702060
9111655036211
1035540141104
1114088535046
126a7a3a3354
1334750c18c0
141a12150676
15dd01c72a4
hex8465b8430

35540141104 has 80 divisors (see below), whose sum is σ = 76406019424. Its totient is φ = 15912806400.

The previous prime is 35540141059. The next prime is 35540141111. The reversal of 35540141104 is 40114104553.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907039 + ... + 945409.

Almost surely, 235540141104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35540141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38203009712).

35540141104 is an abundant number, since it is smaller than the sum of its proper divisors (40865878320).

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

35540141104 is a wasteful number, since it uses less digits than its factorization.

35540141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38526 (or 38520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 35540141104 its reverse (40114104553), we get a palindrome (75654245657).

The spelling of 35540141104 in words is "thirty-five billion, five hundred forty million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 61 73 104 122 146 208 244 292 488 584 793 949 976 1168 1586 1898 3172 3796 4453 6344 7592 8906 12688 15184 17812 35624 38371 57889 71248 76742 115778 153484 231556 306968 463112 498823 613936 926224 997646 1995292 2340631 2801083 3990584 4681262 5602166 7981168 9362524 11204332 18725048 22408664 30428203 36414079 37450096 44817328 60856406 72828158 121712812 145656316 170866063 243425624 291312632 341732126 486851248 582625264 683464252 1366928504 2221258819 2733857008 4442517638 8885035276 17770070552 35540141104