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1412300032 = 281113173223
BaseRepresentation
bin101010000101101…
…1111110100000000
310122102111021102121
41110023133310000
510343022100112
6352050254024
746666231543
oct12413376400
93572437377
101412300032
1166522aa10
12334b87314
131967971c0
14d57d485a
1583ec4407
hex542dfd00

1412300032 has 144 divisors (see below), whose sum is σ = 3346011648. Its totient is φ = 586506240.

The previous prime is 1412300023. The next prime is 1412300059. The reversal of 1412300032 is 2300032141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1412299979 and 1412300015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6333073 + ... + 6333295.

It is an arithmetic number, because the mean of its divisors is an integer number (23236192).

Almost surely, 21412300032 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 1412300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673005824).

1412300032 is an abundant number, since it is smaller than the sum of its proper divisors (1933711616).

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

1412300032 is a wasteful number, since it uses less digits than its factorization.

1412300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1412300032 is about 37580.5805170702. The cubic root of 1412300032 is about 1121.9555631161.

Adding to 1412300032 its reverse (2300032141), we get a palindrome (3712332173).

The spelling of 1412300032 in words is "one billion, four hundred twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 173 176 208 223 256 286 346 352 416 446 572 692 704 832 892 1144 1384 1408 1664 1784 1903 2249 2288 2453 2768 2816 2899 3328 3568 3806 4498 4576 4906 5536 5798 7136 7612 8996 9152 9812 11072 11596 14272 15224 17992 18304 19624 22144 23192 24739 28544 30448 31889 35984 36608 38579 39248 44288 46384 49478 57088 60896 63778 71968 77158 78496 92768 98956 121792 127556 143936 154316 156992 185536 197912 243584 255112 287872 308632 313984 371072 395824 424369 487168 501527 510224 575744 617264 627968 742144 791648 848738 1003054 1020448 1234528 1583296 1697476 2006108 2040896 2469056 3166592 3394952 4012216 4081792 4938112 5516797 6333184 6789904 8024432 8163584 9876224 11033594 13579808 16048864 22067188 27159616 32097728 44134376 54319232 64195456 88268752 108638464 128390912 176537504 353075008 706150016 1412300032