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210031311440 = 2454457589049
BaseRepresentation
bin1100001110011011010…
…1110111101001010000
3202002010102222002211202
43003212311313221100
511420121003431230
6240253111530332
721113525455646
oct3034665675120
9662112862752
10210031311440
118108a221a35
12348570899a8
1316a62650512
14a246475196
1556e3e69a45
hex30e6d77a50

210031311440 has 40 divisors (see below), whose sum is σ = 488433191400. Its totient is φ = 83993532416.

The previous prime is 210031311421. The next prime is 210031311443. The reversal of 210031311440 is 44113130012.

It can be written as a sum of positive squares in 4 ways, for example, as 82773591616 + 127257719824 = 287704^2 + 356732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2100313114402 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210031311443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62036 + ... + 651084.

It is an arithmetic number, because the mean of its divisors is an integer number (12210829785).

Almost surely, 2210031311440 is an apocalyptic number.

210031311440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210031311440 is an abundant number, since it is smaller than the sum of its proper divisors (278401879960).

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

210031311440 is a wasteful number, since it uses less digits than its factorization.

210031311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593519 (or 593513 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 210031311440 its reverse (44113130012), we get a palindrome (254144441452).

The spelling of 210031311440 in words is "two hundred ten billion, thirty-one million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4457 8914 17828 22285 35656 44570 71312 89140 178280 356560 589049 1178098 2356196 2945245 4712392 5890490 9424784 11780980 23561960 47123920 2625391393 5250782786 10501565572 13126956965 21003131144 26253913930 42006262288 52507827860 105015655720 210031311440