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212041132440 = 233513611298317
BaseRepresentation
bin1100010101111010100…
…0101110100110011000
3202021022111210120221120
43011132220232212120
511433230012214230
6241224345205240
721214401613254
oct3053650564630
9667274716846
10212041132440
1181a20767225
1235118190820
1316cc2b55b07
14a397369264
1557b061c310
hex315ea2e998

212041132440 has 64 divisors (see below), whose sum is σ = 636591281760. Its totient is φ = 56502712320.

The previous prime is 212041132439. The next prime is 212041132477. The reversal of 212041132440 is 44231140212.

212041132440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120411324402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212041132440.

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 15 ways as a sum of consecutive naturals, for example, 485839 + ... + 812478.

Almost surely, 2212041132440 is an apocalyptic number.

212041132440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212041132440 is an abundant number, since it is smaller than the sum of its proper divisors (424550149320).

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

212041132440 is a wasteful number, since it uses less digits than its factorization.

212041132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299692 (or 1299688 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212041132440 its reverse (44231140212), we get a palindrome (256272272652).

The spelling of 212041132440 in words is "two hundred twelve billion, forty-one million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1361 2722 4083 5444 6805 8166 10888 13610 16332 20415 27220 32664 40830 54440 81660 163320 1298317 2596634 3894951 5193268 6491585 7789902 10386536 12983170 15579804 19474755 25966340 31159608 38949510 51932680 77899020 155798040 1767009437 3534018874 5301028311 7068037748 8835047185 10602056622 14136075496 17670094370 21204113244 26505141555 35340188740 42408226488 53010283110 70680377480 106020566220 212041132440