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114243001311441 = 3374345337527941
BaseRepresentation
bin11001111110011101000101…
…100000101110000011010001
3112222111112011012002010100010
4121332131011200232003101
5104433224131313431231
61042550302115145133
733030533033554632
oct3176350540560321
9488445135063303
10114243001311441
1133446203a27782
1210991085ba51a9
134b990b81c1a32
14202d568397889
15d31ac8d7b546
hex67e74582e0d1

114243001311441 has 32 divisors (see below), whose sum is σ = 160082860440448. Its totient is φ = 72378496028160.

The previous prime is 114243001311437. The next prime is 114243001311449. The reversal of 114243001311441 is 144113100342411.

It is not a de Polignac number, because 114243001311441 - 22 = 114243001311437 is a prime.

It is a super-3 number, since 3×1142430013114413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114243001311399 and 114243001311408.

It is not an unprimeable number, because it can be changed into a prime (114243001311449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216129531 + ... + 216657471.

It is an arithmetic number, because the mean of its divisors is an integer number (5002589388764).

Almost surely, 2114243001311441 is an apocalyptic number.

It is an amenable number.

114243001311441 is a deficient number, since it is larger than the sum of its proper divisors (45839859129007).

114243001311441 is a wasteful number, since it uses less digits than its factorization.

114243001311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573361.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 114243001311441 its reverse (144113100342411), we get a palindrome (258356101653852).

The spelling of 114243001311441 in words is "one hundred fourteen trillion, two hundred forty-three billion, one million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 37 43 111 129 1591 4773 45337 136011 527941 1583823 1677469 1949491 5032407 5848473 19533817 22701463 58601451 68104389 72131167 216393501 839954131 2519862393 23935261117 71805783351 885604661329 1029216228031 2656813983987 3087648684093 38081000437147 114243001311441