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210144424240 = 24517154517959
BaseRepresentation
bin1100001110110110010…
…1010111000100110000
3202002102022210211102201
43003231211113010300
511420333433033430
6240312232152544
721116401063612
oct3035545270460
9662368724381
10210144424240
118113805a293
1234888b38754
1316a7cc0567a
14a2574badb2
1556edd5e8ca
hex30ed957130

210144424240 has 40 divisors (see below), whose sum is σ = 517326130080. Its totient is φ = 79113194496.

The previous prime is 210144424229. The next prime is 210144424241. The reversal of 210144424240 is 42424441012.

It is a happy number.

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

It is a super-2 number, since 2×2101444242402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210144424199 and 210144424208.

It is not an unprimeable number, because it can be changed into a prime (210144424241) 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, 77257620 + ... + 77260339.

It is an arithmetic number, because the mean of its divisors is an integer number (12933153252).

Almost surely, 2210144424240 is an apocalyptic number.

210144424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210144424240 is an abundant number, since it is smaller than the sum of its proper divisors (307181705840).

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

210144424240 is a wasteful number, since it uses less digits than its factorization.

210144424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154517989 (or 154517983 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 210144424240 its reverse (42424441012), we get a palindrome (252568865252).

The spelling of 210144424240 in words is "two hundred ten billion, one hundred forty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 154517959 309035918 618071836 772589795 1236143672 1545179590 2472287344 2626805303 3090359180 5253610606 6180718360 10507221212 12361436720 13134026515 21014442424 26268053030 42028884848 52536106060 105072212120 210144424240