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34415417136 = 24319318111863
BaseRepresentation
bin100000000011010100…
…011001011100110000
310021211110200100000010
4200003110121130300
51030440321322021
623451001454520
72325563135052
oct400324313460
9107743610003
1034415417136
1113660673301
1268057a1440
133326095569
141946a178d2
15d665aa976
hex803519730

34415417136 has 80 divisors (see below), whose sum is σ = 93623095040. Its totient is φ = 10863694080.

The previous prime is 34415417123. The next prime is 34415417143. The reversal of 34415417136 is 63171451443.

It is a junction number, because it is equal to n+sod(n) for n = 34415417094 and 34415417103.

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, 2895141 + ... + 2907003.

It is an arithmetic number, because the mean of its divisors is an integer number (1170288688).

Almost surely, 234415417136 is an apocalyptic number.

It is an amenable number.

34415417136 is an abundant number, since it is smaller than the sum of its proper divisors (59207677904).

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

34415417136 is a wasteful number, since it uses less digits than its factorization.

34415417136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15068 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

Adding to 34415417136 its reverse (63171451443), we get a palindrome (97586868579).

The spelling of 34415417136 in words is "thirty-four billion, four hundred fifteen million, four hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 3181 6362 9543 11863 12724 19086 23726 25448 35589 38172 47452 50896 60439 71178 76344 94904 120878 142356 152688 181317 189808 225397 241756 284712 362634 450794 483512 569424 676191 725268 901588 967024 1352382 1450536 1803176 2704764 2901072 3606352 5409528 10819056 37736203 75472406 113208609 150944812 226417218 301889624 452834436 603779248 716987857 905668872 1433975714 1811337744 2150963571 2867951428 4301927142 5735902856 8603854284 11471805712 17207708568 34415417136