Search a number
-
+
42242041998 = 2331371847519
BaseRepresentation
bin100111010101110100…
…100110100010001110
311001000220212001221000
4213111310212202032
51143002430320443
631223345321130
73023540301252
oct472564464216
9131026761830
1042242041998
1116a07593412
12822a9361a6
133ca2714030
14208a270262
15117375a8d3
hex9d5d2688e

42242041998 has 64 divisors (see below), whose sum is σ = 102516019200. Its totient is φ = 12814472160.

The previous prime is 42242041991. The next prime is 42242042021. The reversal of 42242041998 is 89914024224.

42242041998 is a `hidden beast` number, since 4 + 224 + 2 + 0 + 419 + 9 + 8 = 666.

42242041998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422420419982 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242041991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373918 + ... + 473601.

It is an arithmetic number, because the mean of its divisors is an integer number (1601812800).

Almost surely, 242242041998 is an apocalyptic number.

42242041998 is an abundant number, since it is smaller than the sum of its proper divisors (60273977202).

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

42242041998 is a wasteful number, since it uses less digits than its factorization.

42242041998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847614 (or 847608 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42242041998 in words is "forty-two billion, two hundred forty-two million, forty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 117 142 213 234 351 426 639 702 923 1278 1846 1917 2769 3834 5538 8307 16614 24921 49842 847519 1695038 2542557 5085114 7627671 11017747 15255342 22035494 22883013 33053241 45766026 60173849 66106482 99159723 120347698 180521547 198319446 297479169 361043094 541564641 594958338 782260037 1083129282 1564520074 1624693923 2346780111 3249387846 4693560222 7040340333 14080680666 21121020999 42242041998