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114046135016 = 231111325934423
BaseRepresentation
bin110101000110110101…
…1011110101011101000
3101220101001220221011112
41222031223132223220
53332031302310031
6124220404245452
711145112103312
oct1521553365350
9356331827145
10114046135016
1144404085250
121a1299a0888
13a9a6852738
14573c7067b2
152e7743262b
hex1a8dadeae8

114046135016 has 64 divisors (see below), whose sum is σ = 235484565120. Its totient is φ = 51348971520.

The previous prime is 114046135013. The next prime is 114046135033. The reversal of 114046135016 is 610531640411.

It is not an unprimeable number, because it can be changed into a prime (114046135013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25782581 + ... + 25787003.

It is an arithmetic number, because the mean of its divisors is an integer number (3679446330).

Almost surely, 2114046135016 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 114046135016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117742282560).

114046135016 is an abundant number, since it is smaller than the sum of its proper divisors (121438430104).

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

114046135016 is a wasteful number, since it uses less digits than its factorization.

114046135016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 114046135016 its reverse (610531640411), we get a palindrome (724577775427).

The spelling of 114046135016 in words is "one hundred fourteen billion, forty-six million, one hundred thirty-five thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 904 1243 2486 2593 4423 4972 5186 8846 9944 10372 17692 20744 28523 35384 48653 57046 97306 114092 194612 228184 293009 389224 499799 586018 999598 1172036 1999196 2344072 3223099 3998392 5497789 6446198 10995578 11468839 12892396 21991156 22937678 25784792 43982312 45875356 91750712 126157229 252314458 504628916 1009257832 1295978807 2591957614 5183915228 10367830456 14255766877 28511533754 57023067508 114046135016