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210344120414430 = 23517886746513979
BaseRepresentation
bin101111110100111010001110…
…100100111111000011011110
31000120202200221102010121122020
4233310322032210333003132
5210032234224311230210
62023210431021201010
762206601251150362
oct5764721644770336
91016680842117566
10210344120414430
116102749334aa92
121b712124400166
13904a499b5a6b2
1439d29d179d2a2
15194b7eec86770
hexbf4e8e93f0de

210344120414430 has 64 divisors (see below), whose sum is σ = 534581823133440. Its totient is φ = 52786294905344.

The previous prime is 210344120414387. The next prime is 210344120414531. The reversal of 210344120414430 is 34414021443012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210344120414391 and 210344120414400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18734820 + ... + 27779159.

It is an arithmetic number, because the mean of its divisors is an integer number (8352840986460).

Almost surely, 2210344120414430 is an apocalyptic number.

210344120414430 is an abundant number, since it is smaller than the sum of its proper divisors (324237702719010).

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

210344120414430 is a wasteful number, since it uses less digits than its factorization.

210344120414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46522873.

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

Adding to 210344120414430 its reverse (34414021443012), we get a palindrome (244758141857442).

The spelling of 210344120414430 in words is "two hundred ten trillion, three hundred forty-four billion, one hundred twenty million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 8867 17734 26601 44335 53202 88670 133005 150739 266010 301478 452217 753695 904434 1507390 2261085 4522170 46513979 93027958 139541937 232569895 279083874 465139790 697709685 790737643 1395419370 1581475286 2372212929 3953688215 4744425858 7907376430 11861064645 23722129290 412439451793 824878903586 1237318355379 2062197258965 2474636710758 4124394517930 6186591776895 7011470680481 12373183553790 14022941360962 21034412041443 35057353402405 42068824082886 70114706804810 105172060207215 210344120414430