Base | Representation |
---|---|
bin | 10011000110010011011011… |
… | …10100010111111101000000 |
3 | 12111200222021002212221222100 |
4 | 21203021231310113331000 |
5 | 21001043432330311212 |
6 | 225153344014310400 |
7 | 11563154254352313 |
oct | 1143115564277500 |
9 | 174628232787870 |
10 | 41998032666432 |
11 | 124222a1610047 |
12 | 48636001b8400 |
13 | 1a5852238131b |
14 | a52a0397497a |
15 | 4cc6ea13abdc |
hex | 26326dd17f40 |
41998032666432 has 168 divisors, whose sum is σ = 121948664123520. Its totient is φ = 13817452492800.
The previous prime is 41998032666419. The next prime is 41998032666439. The reversal of 41998032666432 is 23466623089914.
41998032666432 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-4 number, since 4×419980326664324 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 41998032666432.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41998032666439) 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 23 ways as a sum of consecutive naturals, for example, 28134057 + ... + 29589207.
Almost surely, 241998032666432 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 41998032666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60974332061760).
41998032666432 is an abundant number, since it is smaller than the sum of its proper divisors (79950631457088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41998032666432 is a wasteful number, since it uses less digits than its factorization.
41998032666432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1455821 (or 1455808 counting only the distinct ones).
The product of its (nonzero) digits is 80621568, while the sum is 63.
The spelling of 41998032666432 in words is "forty-one trillion, nine hundred ninety-eight billion, thirty-two million, six hundred sixty-six thousand, four hundred thirty-two".
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