Base | Representation |
---|---|
bin | 110110111001010110000011… |
… | …011110011100100010011000 |
3 | 1011122211222110101002101220000 |
4 | 312321112003132130202120 |
5 | 223121133243304002202 |
6 | 2213253444550133000 |
7 | 101566055246504310 |
oct | 6671260336344230 |
9 | 1148758411071800 |
10 | 241435202406552 |
11 | 6aa24104612790 |
12 | 230b3914951160 |
13 | a49431b5a196b |
14 | 4389751a62440 |
15 | 1cda43c62d91c |
hex | db958379c898 |
241435202406552 has 320 divisors, whose sum is σ = 843153252099840. Its totient is φ = 62707006137600.
The previous prime is 241435202406547. The next prime is 241435202406649. The reversal of 241435202406552 is 255604202534142.
241435202406552 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 3 + 52 + 0 + 2 + 40 + 6 + 552 = 666.
241435202406552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2414352024065522 (a number of 30 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 241435202406498 and 241435202406507.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 983676727 + ... + 983922137.
It is an arithmetic number, because the mean of its divisors is an integer number (2634853912812).
Almost surely, 2241435202406552 is an apocalyptic number.
241435202406552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 241435202406552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421576626049920).
241435202406552 is an abundant number, since it is smaller than the sum of its proper divisors (601718049693288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241435202406552 is a wasteful number, since it uses less digits than its factorization.
241435202406552 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 265164 (or 265151 counting only the distinct ones).
The product of its (nonzero) digits is 2304000, while the sum is 45.
The spelling of 241435202406552 in words is "two hundred forty-one trillion, four hundred thirty-five billion, two hundred two million, four hundred six thousand, five hundred fifty-two".
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