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212024140040 = 23516133286177
BaseRepresentation
bin1100010101110110011…
…1111010000100001000
3202021021022211021202102
43011131213322010020
511433211134440130
6241222541052532
721214104311606
oct3053547720410
9667238737672
10212024140040
1181a12110619
1235112557148
1316cbc48663b
14a394dc4876
1557addb2645
hex315d9fa108

212024140040 has 32 divisors (see below), whose sum is σ = 477350216280. Its totient is φ = 84757051392.

The previous prime is 212024140007. The next prime is 212024140051. The reversal of 212024140040 is 40041420212.

It can be written as a sum of positive squares in 4 ways, for example, as 201182749156 + 10841390884 = 448534^2 + 104122^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212024139994 and 212024140021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1578569 + ... + 1707608.

Almost surely, 2212024140040 is an apocalyptic number.

212024140040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212024140040 is an abundant number, since it is smaller than the sum of its proper divisors (265326076240).

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

212024140040 is a wasteful number, since it uses less digits than its factorization.

212024140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287801 (or 3287797 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 212024140040 its reverse (40041420212), we get a palindrome (252065560252).

The spelling of 212024140040 in words is "two hundred twelve billion, twenty-four million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1613 3226 6452 8065 12904 16130 32260 64520 3286177 6572354 13144708 16430885 26289416 32861770 65723540 131447080 5300603501 10601207002 21202414004 26503017505 42404828008 53006035010 106012070020 212024140040