Search a number
-
+
442121256336251 = 2937787952296253
BaseRepresentation
bin110010010000110110110000…
…0011011100111101101111011
32010222102101020112020002021002
41210201231200123213231323
5430422203313110230001
64204151411244235215
7162061130613242432
oct14441554033475573
92128371215202232
10442121256336251
11118967632140698
124170608a23bb0b
1315c90b1792186b
147b26ad6712119
15361a8c624646b
hex1921b606e7b7b

442121256336251 has 16 divisors (see below), whose sum is σ = 469787708932800. Its totient is φ = 415285792242048.

The previous prime is 442121256336127. The next prime is 442121256336299. The reversal of 442121256336251 is 152633652121244.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442121256336251 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442121256336196 and 442121256336205.

It is not an unprimeable number, because it can be changed into a prime (442121256330251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17693960 + ... + 34602293.

It is an arithmetic number, because the mean of its divisors is an integer number (29361731808300).

Almost surely, 2442121256336251 is an apocalyptic number.

442121256336251 is a deficient number, since it is larger than the sum of its proper divisors (27666452596549).

442121256336251 is a wasteful number, since it uses less digits than its factorization.

442121256336251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52304198.

The product of its digits is 2073600, while the sum is 47.

The spelling of 442121256336251 in words is "four hundred forty-two trillion, one hundred twenty-one billion, two hundred fifty-six million, three hundred thirty-six thousand, two hundred fifty-one".

Divisors: 1 29 37 1073 7879 228491 291523 8454167 52296253 1516591337 1934961361 56113879469 412042177387 11949223144223 15245560563319 442121256336251