Search a number
-
+
114543220401153 = 3517412377113903
BaseRepresentation
bin11010000010110100101011…
…111101101010010000000001
3120000120020001222021001200000
4122002310223331222100001
5110003134003410314103
61043340232400150213
733061321531662645
oct3202645375522001
9500506058231600
10114543220401153
1133551563865355
1210a1b2b0908369
134bbb4c152c90b
14203dcc864ac25
15d397ea8b5aa3
hex682d2bf6a401

114543220401153 has 48 divisors (see below), whose sum is σ = 171751429414656. Its totient is φ = 76285509125760.

The previous prime is 114543220401131. The next prime is 114543220401161. The reversal of 114543220401153 is 351104022345411.

114543220401153 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 432 + 204 + 0 + 1 + 15 + 3 = 666.

It is not a de Polignac number, because 114543220401153 - 26 = 114543220401089 is a prime.

It is a super-2 number, since 2×1145432204011532 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114543220401853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005563800 + ... + 1005677702.

It is an arithmetic number, because the mean of its divisors is an integer number (3578154779472).

Almost surely, 2114543220401153 is an apocalyptic number.

It is an amenable number.

114543220401153 is a deficient number, since it is larger than the sum of its proper divisors (57208209013503).

114543220401153 is a wasteful number, since it uses less digits than its factorization.

114543220401153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118036 (or 118024 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114543220401153 its reverse (351104022345411), we get a palindrome (465647242746564).

The spelling of 114543220401153 in words is "one hundred fourteen trillion, five hundred forty-three billion, two hundred twenty million, four hundred one thousand, one hundred fifty-three".

Divisors: 1 3 9 27 81 243 1741 2377 5223 7131 15669 21393 47007 64179 113903 141021 192537 341709 423063 577611 1025127 3075381 4138357 9226143 12415071 27678429 37245213 111735639 198305123 270747431 335206917 594915369 812242293 1005620751 1784746107 2436726879 5354238321 7310180637 16062714963 21930541911 48188144889 65791625733 471371277371 1414113832113 4242341496339 12727024489017 38181073467051 114543220401153