Search a number
-
+
42305650240160 = 25510111712235631
BaseRepresentation
bin10011001111010000011010…
…10000010010101010100000
312112210101021111121211101202
421213220031100102222200
521021113432430141120
6225550540350420332
711624324310525506
oct1147501520225240
9175711244554352
1042305650240160
11125307a872221a
1248b31508016a8
131a7b5374256b8
14a63866672676
154d5701453875
hex267a0d412aa0

42305650240160 has 96 divisors (see below), whose sum is σ = 101022916103424. Its totient is φ = 16740397440000.

The previous prime is 42305650240159. The next prime is 42305650240211. The reversal of 42305650240160 is 6104205650324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17805545 + ... + 20041175.

It is an arithmetic number, because the mean of its divisors is an integer number (1052322042744).

Almost surely, 242305650240160 is an apocalyptic number.

42305650240160 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 42305650240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50511458051712).

42305650240160 is an abundant number, since it is smaller than the sum of its proper divisors (58717265863264).

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

42305650240160 is a wasteful number, since it uses less digits than its factorization.

42305650240160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236918 (or 2236910 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 42305650240160 its reverse (6104205650324), we get a palindrome (48409855890484).

The spelling of 42305650240160 in words is "forty-two trillion, three hundred five billion, six hundred fifty million, two hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1171 1616 2020 2342 3232 4040 4684 5855 8080 9368 11710 16160 18736 23420 37472 46840 93680 118271 187360 236542 473084 591355 946168 1182710 1892336 2235631 2365420 3784672 4471262 4730840 8942524 9461680 11178155 17885048 18923360 22356310 35770096 44712620 71540192 89425240 178850480 225798731 357700960 451597462 903194924 1128993655 1806389848 2257987310 2617923901 3612779696 4515974620 5235847802 7225559392 9031949240 10471695604 13089619505 18063898480 20943391208 26179239010 36127796960 41886782416 52358478020 83773564832 104716956040 209433912080 264410314001 418867824160 528820628002 1057641256004 1322051570005 2115282512008 2644103140010 4230565024016 5288206280020 8461130048032 10576412560040 21152825120080 42305650240160