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214124300360 = 23517674699831
BaseRepresentation
bin1100011101101011001…
…1011000100001001000
3202110200200122111002222
43013122303120201020
512002011310102420
6242211202513212
721320125344155
oct3073263304110
9673620574088
10214124300360
118289a649103
12355b9965808
13172655cc459
14a513cb322c
15588345c225
hex31dacd8848

214124300360 has 64 divisors (see below), whose sum is σ = 517733493120. Its totient is φ = 79408327680.

The previous prime is 214124300353. The next prime is 214124300363. The reversal of 214124300360 is 63003421412.

It is a super-2 number, since 2×2141243003602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214124300363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2304356 + ... + 2395475.

It is an arithmetic number, because the mean of its divisors is an integer number (8089585830).

Almost surely, 2214124300360 is an apocalyptic number.

214124300360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214124300360 is an abundant number, since it is smaller than the sum of its proper divisors (303609192760).

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

214124300360 is a wasteful number, since it uses less digits than its factorization.

214124300360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699926 (or 4699922 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 214124300360 its reverse (63003421412), we get a palindrome (277127721772).

The spelling of 214124300360 in words is "two hundred fourteen billion, one hundred twenty-four million, three hundred thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 1139 1340 2278 2680 4556 5695 9112 11390 22780 45560 4699831 9399662 18799324 23499155 37598648 46998310 79897127 93996620 159794254 187993240 314888677 319588508 399485635 629777354 639177016 798971270 1259554708 1574443385 1597942540 2519109416 3148886770 3195885080 5353107509 6297773540 10706215018 12595547080 21412430036 26765537545 42824860072 53531075090 107062150180 214124300360