Search a number
-
+
114524254511552 = 2653223151403797
BaseRepresentation
bin11010000010100011000001…
…100000100010000111000000
3120000111102010012121001012102
4122002203001200202013000
5110002331133123332202
61043323414411245532
733060050534405114
oct3202430140420700
9500442105531172
10114524254511552
1133544511037826
1210a176991498a8
134bb978b176032
14203d009831744
15d3908a817d02
hex6828c18221c0

114524254511552 has 56 divisors (see below), whose sum is σ = 232585303257216. Its totient is φ = 55929773472768.

The previous prime is 114524254511549. The next prime is 114524254511587. The reversal of 114524254511552 is 255115452425411.

It is a super-3 number, since 3×1145242545115523 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 114524254511497 and 114524254511506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74945483 + ... + 76458314.

It is an arithmetic number, because the mean of its divisors is an integer number (4153308986736).

Almost surely, 2114524254511552 is an apocalyptic number.

It is an amenable number.

114524254511552 is an abundant number, since it is smaller than the sum of its proper divisors (118061048745664).

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

114524254511552 is a wasteful number, since it uses less digits than its factorization.

114524254511552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151404085 (or 151404075 counting only the distinct ones).

The product of its digits is 1600000, while the sum is 47.

The spelling of 114524254511552 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred fifty-four million, five hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 223 424 446 848 892 1696 1784 3392 3568 7136 11819 14272 23638 47276 94552 189104 378208 756416 151403797 302807594 605615188 1211230376 2422460752 4844921504 8024401241 9689843008 16048802482 32097604964 33763046731 64195209928 67526093462 128390419856 135052186924 256780839712 270104373848 513561679424 540208747696 1080417495392 1789441476743 2160834990784 3578882953486 7157765906972 14315531813944 28631063627888 57262127255776 114524254511552