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114041244243114 = 23431142315958069
BaseRepresentation
bin11001111011100001001011…
…110110100101010010101010
3112221210020101101120010020000
4121323201023312211102222
5104421422432011234424
61042313454021043430
733010131226021506
oct3173411366452252
9487706341503200
10114041244243114
11333786903650a1
1210959b59b56576
134b83073b64876
1420238a8bb7306
15d2b71b52e3c9
hex67b84bda54aa

114041244243114 has 80 divisors (see below), whose sum is σ = 263965372154880. Its totient is φ = 36761643767520.

The previous prime is 114041244243067. The next prime is 114041244243127. The reversal of 114041244243114 is 411342442140411.

114041244243114 is a `hidden beast` number, since 1 + 1 + 40 + 41 + 244 + 24 + 311 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 832729 + ... + 15125340.

It is an arithmetic number, because the mean of its divisors is an integer number (3299567151936).

Almost surely, 2114041244243114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114041244243114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131982686077440).

114041244243114 is an abundant number, since it is smaller than the sum of its proper divisors (149924127911766).

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

114041244243114 is a wasteful number, since it uses less digits than its factorization.

114041244243114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15959537 (or 15959528 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 114041244243114 its reverse (411342442140411), we get a palindrome (525383686383525).

The spelling of 114041244243114 in words is "one hundred fourteen trillion, forty-one billion, two hundred forty-four million, two hundred forty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1423 1674 2511 2846 4269 5022 8538 12807 25614 38421 44113 76842 88226 115263 132339 230526 264678 397017 794034 1191051 2382102 3573153 7146306 15958069 31916138 47874207 95748414 143622621 287245242 430867863 494700139 861735726 989400278 1292603589 1484100417 2585207178 2968200834 4452301251 8904602502 13356903753 22708332187 26713807506 40070711259 45416664374 68124996561 80141422518 136249993122 204374989683 408749979366 613124969049 703958297797 1226249938098 1407916595594 1839374907147 2111874893391 3678749814294 4223749786782 6335624680173 12671249360346 19006874040519 38013748081038 57020622121557 114041244243114