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514044450324 = 2232371973375813
BaseRepresentation
bin1110111101011110110…
…11111101011000010100
31211010211122022201012100
413132233123331120110
531410230334402244
61032052044322100
752065333506556
oct7365733753024
91733748281170
10514044450324
11189006766939
1283760543330
1339621a21002
141ac4658b4d6
15d588ae6b69
hex77af6fd614

514044450324 has 144 divisors (see below), whose sum is σ = 1345494438288. Its totient is φ = 165350191104.

The previous prime is 514044450323. The next prime is 514044450371. The reversal of 514044450324 is 423054440415.

514044450324 is a `hidden beast` number, since 5 + 140 + 4 + 4 + 4 + 503 + 2 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 131029520400 + 383014929924 = 361980^2 + 618882^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514044450323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88427242 + ... + 88433054.

It is an arithmetic number, because the mean of its divisors is an integer number (9343711377).

Almost surely, 2514044450324 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 514044450324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672747219144).

514044450324 is an abundant number, since it is smaller than the sum of its proper divisors (831449987964).

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

514044450324 is a wasteful number, since it uses less digits than its factorization.

514044450324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 514044450324 its reverse (423054440415), we get a palindrome (937098890739).

Subtracting from 514044450324 its reverse (423054440415), we obtain a palindrome (90990009909).

The spelling of 514044450324 in words is "five hundred fourteen billion, forty-four million, four hundred fifty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 197 222 333 337 394 444 591 666 674 788 1011 1182 1332 1348 1773 2022 2364 3033 3546 4044 5813 6066 7092 7289 11626 12132 12469 14578 17439 21867 23252 24938 29156 34878 37407 43734 49876 52317 65601 66389 69756 74814 87468 104634 112221 131202 132778 149628 199167 209268 215081 224442 262404 265556 398334 430162 448884 597501 645243 796668 860324 1145161 1195002 1290486 1935729 1958981 2290322 2390004 2456393 2580972 3435483 3871458 3917962 4580644 4912786 5876943 6870966 7369179 7742916 7835924 9825572 10306449 11753886 13741932 14738358 17630829 20612898 22107537 23507772 29476716 35261658 41225796 42370957 44215074 70523316 72482297 84741914 88430148 127112871 144964594 169483828 217446891 254225742 289929188 381338613 385919257 434893782 508451484 652340673 762677226 771838514 869787564 1157757771 1304681346 1525354452 1543677028 2315515542 2609362692 3473273313 4631031084 6946546626 13893093252 14279012509 28558025018 42837037527 57116050036 85674075054 128511112581 171348150108 257022225162 514044450324