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452205041340 = 2235131609360317
BaseRepresentation
bin1101001010010011000…
…01010101011010111100
31121020012221120020200110
412211021201111122330
524402103442310330
6543423511230020
744446030300503
oct6451141253274
91536187506613
10452205041340
11164862a58668
1273782678310
1333848186250
1417c5b6c383a
15bb69b53db0
hex69498556bc

452205041340 has 96 divisors (see below), whose sum is σ = 1364423376960. Its totient is φ = 111242520576.

The previous prime is 452205041297. The next prime is 452205041363. The reversal of 452205041340 is 43140502254.

It is a super-2 number, since 2×4522050413402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 452205041298 and 452205041307.

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, 1074862 + ... + 1435178.

It is an arithmetic number, because the mean of its divisors is an integer number (14212743510).

Almost surely, 2452205041340 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 452205041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682211688480).

452205041340 is an abundant number, since it is smaller than the sum of its proper divisors (912218335620).

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

452205041340 is a wasteful number, since it uses less digits than its factorization.

452205041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361951 (or 361949 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 452205041340 its reverse (43140502254), we get a palindrome (495345543594).

The spelling of 452205041340 in words is "four hundred fifty-two billion, two hundred five million, forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1609 3218 4827 6436 8045 9654 16090 19308 20917 24135 32180 41834 48270 62751 83668 96540 104585 125502 209170 251004 313755 360317 418340 627510 720634 1080951 1255020 1441268 1801585 2161902 3603170 4323804 4684121 5404755 7206340 9368242 10809510 14052363 18736484 21619020 23420605 28104726 46841210 56209452 70261815 93682420 140523630 281047260 579750053 1159500106 1739250159 2319000212 2898750265 3478500318 5797500530 6957000636 7536750689 8696250795 11595001060 15073501378 17392501590 22610252067 30147002756 34785003180 37683753445 45220504134 75367506890 90441008268 113051260335 150735013780 226102520670 452205041340