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114523221044024 = 231311333732889119
BaseRepresentation
bin11010000010100010000011…
…111010001010101100111000
3120000111022110011221110021022
4122002202003322022230320
5110002322024041402044
61043323124052402012
733060013115154212
oct3202420372125470
9500438404843238
10114523221044024
1133544030735331
1210a1744b016308
134bb965501b7a0
14203cd4c4915b2
15d39029c253ee
hex682883e8ab38

114523221044024 has 64 divisors (see below), whose sum is σ = 233364507667200. Its totient is φ = 52373561296896.

The previous prime is 114523221043993. The next prime is 114523221044047. The reversal of 114523221044024 is 420440122325411.

It is a super-3 number, since 3×1145232210440243 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38194937 + ... + 41084055.

It is an arithmetic number, because the mean of its divisors is an integer number (3646320432300).

Almost surely, 2114523221044024 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 114523221044024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116682253833600).

114523221044024 is an abundant number, since it is smaller than the sum of its proper divisors (118841286623176).

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

114523221044024 is a wasteful number, since it uses less digits than its factorization.

114523221044024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892624 (or 2892620 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 114523221044024 its reverse (420440122325411), we get a palindrome (534963343369435).

The spelling of 114523221044024 in words is "one hundred fourteen trillion, five hundred twenty-three billion, two hundred twenty-one million, forty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 904 1469 2938 3373 5876 6746 11752 13492 26984 43849 87698 175396 350792 381149 762298 1524596 2889119 3049192 4954937 5778238 9909874 11556476 19819748 23112952 37558547 39639496 75117094 150234188 300468376 326470447 652940894 1305881788 2611763576 4244115811 8488231622 9744998387 16976463244 19489996774 33952926488 38979993548 77959987096 126684979031 253369958062 506739916124 1013479832248 1101184817731 2202369635462 4404739270924 8809478541848 14315402630503 28630805261006 57261610522012 114523221044024