Search a number
-
+
42202424211210 = 23251060144233169
BaseRepresentation
bin10011001100010000001001…
…00000001111011100001010
312112102111211111122020101100
421212020010200033130022
521012421031044224320
6225431305342402230
711614011262001004
oct1146100440173412
9175374744566340
1042202424211210
11124a0a4728589a
124897142590376
131a71896462ab3
14a5c872dad374
154d2baddc8790
hex26620480f70a

42202424211210 has 48 divisors (see below), whose sum is σ = 109736655991560. Its totient is φ = 11252917939200.

The previous prime is 42202424211191. The next prime is 42202424211251. The reversal of 42202424211210 is 1211242420224.

42202424211210 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 2 + 424 + 21 + 1 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39009480503049 + 3192943708161 = 6245757^2 + 1786881^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21162495 + ... + 23070674.

Almost surely, 242202424211210 is an apocalyptic number.

42202424211210 is an abundant number, since it is smaller than the sum of its proper divisors (67534231780350).

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

42202424211210 is a wasteful number, since it uses less digits than its factorization.

42202424211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44243783 (or 44243780 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 42202424211210 its reverse (1211242420224), we get a palindrome (43413666631434).

The spelling of 42202424211210 in words is "forty-two trillion, two hundred two billion, four hundred twenty-four million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10601 21202 31803 53005 63606 95409 106010 159015 190818 318030 477045 954090 44233169 88466338 132699507 221165845 265399014 398098521 442331690 663497535 796197042 1326995070 1990492605 3980985210 468915824569 937831649138 1406747473707 2344579122845 2813494947414 4220242421121 4689158245690 7033737368535 8440484842242 14067474737070 21101212105605 42202424211210