Search a number
-
+
452033334414 = 2321753107260489
BaseRepresentation
bin1101001001111110100…
…10010100110010001110
31121012202222110122001200
412210333102110302032
524401231013200124
6543354455050330
744441543642304
oct6447722246216
91535688418050
10452033334414
1116478503a712
12737350709a6
133381b72700c
1417c42988274
15bb59a37bc9
hex693f494c8e

452033334414 has 96 divisors (see below), whose sum is σ = 1066462731360. Its totient is φ = 137837746176.

The previous prime is 452033334409. The next prime is 452033334421. The reversal of 452033334414 is 414433330254.

It is a happy number.

452033334414 is a `hidden beast` number, since 4 + 5 + 203 + 3 + 3 + 3 + 441 + 4 = 666.

452033334414 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1605082 + ... + 1865570.

It is an arithmetic number, because the mean of its divisors is an integer number (11108986785).

Almost surely, 2452033334414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452033334414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533231365680).

452033334414 is an abundant number, since it is smaller than the sum of its proper divisors (614429396946).

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

452033334414 is a wasteful number, since it uses less digits than its factorization.

452033334414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260674 (or 260671 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 452033334414 its reverse (414433330254), we get a palindrome (866466664668).

The spelling of 452033334414 in words is "four hundred fifty-two billion, thirty-three million, three hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 107 153 159 214 306 318 321 477 642 901 954 963 1802 1819 1926 2703 3638 5406 5457 5671 8109 10914 11342 16218 16371 17013 32742 34026 51039 96407 102078 192814 260489 289221 520978 578442 781467 867663 1562934 1735326 2344401 4428313 4688802 8856626 13284939 13805917 26569878 27611834 27872323 39854817 41417751 55744646 79709634 82835502 83616969 124253253 167233938 234700589 248506506 250850907 469401178 473829491 501701814 704101767 947658982 1408203534 1421488473 1477233119 2112305301 2842976946 2954466238 4224610602 4264465419 4431699357 8528930838 8863398714 13295098071 25112963023 26590196142 50225926046 75338889069 150677778138 226016667207 452033334414