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1412312240 = 245234197193
BaseRepresentation
bin101010000101110…
…0010110010110000
310122102111220011202
41110023202302300
510343022442430
6352050430332
746666312253
oct12413426260
93572456152
101412312240
116652390a9
12334b923a8
1319679c921
14d57d909a
1583ec7d45
hex542e2cb0

1412312240 has 160 divisors (see below), whose sum is σ = 3564521856. Its totient is φ = 519045120.

The previous prime is 1412312233. The next prime is 1412312249. The reversal of 1412312240 is 422132141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1412312249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7317584 + ... + 7317776.

Almost surely, 21412312240 is an apocalyptic number.

1412312240 is a gapful number since it is divisible by the number (10) 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 1412312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782260928).

1412312240 is an abundant number, since it is smaller than the sum of its proper divisors (2152209616).

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

1412312240 is a wasteful number, since it uses less digits than its factorization.

1412312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1412312240 is about 37580.7429410330. The cubic root of 1412312240 is about 1121.9587958555.

Adding to 1412312240 its reverse (422132141), we get a palindrome (1834444381).

The spelling of 1412312240 in words is "one billion, four hundred twelve million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 97 115 164 184 193 194 205 230 328 368 386 388 410 460 485 656 772 776 820 920 943 965 970 1544 1552 1640 1840 1886 1930 1940 2231 3088 3280 3772 3860 3880 3977 4439 4462 4715 7544 7720 7760 7913 7954 8878 8924 9430 11155 15088 15440 15826 15908 17756 17848 18721 18860 19885 22195 22310 31652 31816 35512 35696 37442 37720 39565 39770 44390 44620 63304 63632 71024 74884 75440 79130 79540 88780 89240 91471 93605 126608 149768 158260 159080 177560 178480 181999 182942 187210 299536 316520 318160 355120 363998 365884 374420 430583 457355 633040 727996 731768 748840 767561 861166 909995 914710 1455992 1463536 1497680 1535122 1722332 1819990 1829420 2152915 2911984 3070244 3444664 3639980 3658840 3837805 4305830 6140488 6889328 7279960 7317680 7675610 8611660 12280976 14559920 15351220 17223320 17653903 30702440 34446640 35307806 61404880 70615612 88269515 141231224 176539030 282462448 353078060 706156120 1412312240