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210014312434224 = 24373914094201963
BaseRepresentation
bin101111110000000111000100…
…011111011000101000110000
31000112121011122112020022011020
4233300013010133120220300
5210011333302440343344
62022355124311415440
762144014304445444
oct5760070437305060
91015534575208136
10210014312434224
1160a0a62a342001
121b67a220384580
13902535968889c
1439c0a65918824
151942e4a77d719
hexbf01c47d8a30

210014312434224 has 80 divisors (see below), whose sum is σ = 543656825462400. Its totient is φ = 69860408352768.

The previous prime is 210014312434151. The next prime is 210014312434231. The reversal of 210014312434224 is 422434213410012.

It is a super-2 number, since 2×2100143124342242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47879067 + ... + 52081029.

It is an arithmetic number, because the mean of its divisors is an integer number (6795710318280).

Almost surely, 2210014312434224 is an apocalyptic number.

210014312434224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210014312434224 is an abundant number, since it is smaller than the sum of its proper divisors (333642513028176).

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

210014312434224 is a wasteful number, since it uses less digits than its factorization.

210014312434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204122 (or 4204116 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 210014312434224 its reverse (422434213410012), we get a palindrome (632448525844236).

The spelling of 210014312434224 in words is "two hundred ten trillion, fourteen billion, three hundred twelve million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 739 1409 1478 2217 2818 2956 4227 4434 5636 5912 8454 8868 11272 11824 16908 17736 22544 33816 35472 67632 1041251 2082502 3123753 4165004 4201963 6247506 8330008 8403926 12495012 12605889 16660016 16807852 24990024 25211778 33615704 49980048 50423556 67231408 100847112 201694224 3105250657 5920565867 6210501314 9315751971 11841131734 12421002628 17761697601 18631503942 23682263468 24842005256 35523395202 37263007884 47364526936 49684010512 71046790404 74526015768 94729053872 142093580808 149052031536 284187161616 4375298175713 8750596351426 13125894527139 17501192702852 26251789054278 35002385405704 52503578108556 70004770811408 105007156217112 210014312434224