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213424444223145 = 32541869913297759
BaseRepresentation
bin110000100001101111000000…
…001011110010111010101001
31000222200011210110211011010200
4300201233000023302322221
5210433221230210120040
62033525500334502413
762645256454420011
oct6041570013627251
91028604713734120
10213424444223145
1162004886889051
121bb2b106664a09
139211ab990809c
143a9bb26440c41
1519a19d610c630
hexc21bc02f2ea9

213424444223145 has 48 divisors (see below), whose sum is σ = 379002117312000. Its totient is φ = 111037343120640.

The previous prime is 213424444223119. The next prime is 213424444223173. The reversal of 213424444223145 is 541322444424312.

213424444223145 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 44 + 442 + 23 + 145 = 666.

It is not a de Polignac number, because 213424444223145 - 237 = 213287005269673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213424444223145.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9400776 + ... + 22698534.

It is an arithmetic number, because the mean of its divisors is an integer number (7895877444000).

Almost surely, 2213424444223145 is an apocalyptic number.

It is an amenable number.

213424444223145 is a deficient number, since it is larger than the sum of its proper divisors (165577673088855).

213424444223145 is a wasteful number, since it uses less digits than its factorization.

213424444223145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13306510 (or 13306507 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

Adding to 213424444223145 its reverse (541322444424312), we get a palindrome (754746888647457).

The spelling of 213424444223145 in words is "two hundred thirteen trillion, four hundred twenty-four billion, four hundred forty-four million, two hundred twenty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 8699 26097 43495 78291 130485 356659 391455 1069977 1783295 3209931 5349885 13297759 16049655 39893277 66488795 119679831 199466385 545208119 598399155 1635624357 2726040595 4906873071 8178121785 24534365355 115677205541 347031616623 578386027705 1041094849869 1735158083115 4742765427181 5205474249345 14228296281543 23713827135905 42684888844629 71141481407715 213424444223145