Search a number
-
+
42305232240 = 24325117150177
BaseRepresentation
bin100111011001100101…
…101001110101110000
311001012022202110122100
4213121211221311300
51143120114412430
631233523540400
73025235353335
oct473145516560
9131168673570
1042305232240
1116a3a223157
128247b2a700
133cb283a0cb
1420947dc98c
15117908d960
hex9d9969d70

42305232240 has 120 divisors (see below), whose sum is σ = 142199233488. Its totient is φ = 11271536640.

The previous prime is 42305232239. The next prime is 42305232257. The reversal of 42305232240 is 4223250324.

It is a happy number.

42305232240 is a `hidden beast` number, since 423 + 0 + 5 + 232 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818032 + ... + 868208.

Almost surely, 242305232240 is an apocalyptic number.

42305232240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42305232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71099616744).

42305232240 is an abundant number, since it is smaller than the sum of its proper divisors (99894001248).

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

42305232240 is a wasteful number, since it uses less digits than its factorization.

42305232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51367 (or 51358 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42305232240 its reverse (4223250324), we get a palindrome (46528482564).

The spelling of 42305232240 in words is "forty-two billion, three hundred five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1171 2342 3513 4684 5855 7026 9368 10539 11710 14052 17565 18736 21078 23420 28104 35130 42156 46840 50177 52695 56208 70260 84312 93680 100354 105390 140520 150531 168624 200708 210780 250885 281040 301062 401416 421560 451593 501770 602124 752655 802832 843120 903186 1003540 1204248 1505310 1806372 2007080 2257965 2408496 3010620 3612744 4014160 4515930 6021240 7225488 9031860 12042480 18063720 36127440 58757267 117514534 176271801 235029068 293786335 352543602 470058136 528815403 587572670 705087204 881359005 940116272 1057630806 1175145340 1410174408 1762718010 2115261612 2350290680 2644077015 2820348816 3525436020 4230523224 4700581360 5288154030 7050872040 8461046448 10576308060 14101744080 21152616120 42305232240