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14436574332 = 22329472713257
BaseRepresentation
bin11010111000111110…
…01010010001111100
31101021002221221222020
431130133022101330
5214031230334312
610344305520140
71020515566665
oct153437122174
941232857866
1014436574332
116139084a74
12296a943050
131490bb799b
149ad47c36c
1559761d78c
hex35c7ca47c

14436574332 has 96 divisors (see below), whose sum is σ = 35730616320. Its totient is φ = 4529226240.

The previous prime is 14436574309. The next prime is 14436574349. The reversal of 14436574332 is 23347563441.

It is a happy number.

It is a super-2 number, since 2×144365743322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4430848 + ... + 4434104.

It is an arithmetic number, because the mean of its divisors is an integer number (372193920).

Almost surely, 214436574332 is an apocalyptic number.

14436574332 is a gapful number since it is divisible by the number (12) 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 14436574332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865308160).

14436574332 is an abundant number, since it is smaller than the sum of its proper divisors (21294041988).

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

14436574332 is a wasteful number, since it uses less digits than its factorization.

14436574332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3609 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The spelling of 14436574332 in words is "fourteen billion, four hundred thirty-six million, five hundred seventy-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 271 282 348 542 564 813 1084 1363 1626 2726 3252 3257 4089 5452 6514 7859 8178 9771 12737 13028 15718 16356 19542 23577 25474 31436 38211 39084 47154 50948 76422 94308 94453 152844 153079 188906 283359 306158 369373 377812 459237 566718 612316 738746 882647 918474 1108119 1133436 1477492 1765294 1836948 2216238 2647941 3530588 4432476 4439291 5295882 8878582 10591764 13317873 17757164 25596763 26635746 41484409 51193526 53271492 76790289 82968818 102387052 124453227 153580578 165937636 248906454 307161156 497812908 1203047861 2406095722 3609143583 4812191444 7218287166 14436574332