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24160416040 = 23541101145861
BaseRepresentation
bin10110100000000100…
…101011000100101000
32022100210002022010201
4112200010223010220
5343440031303130
615033225321544
71513501101505
oct264004530450
968323068121
1024160416040
11a278a1a192
1248233362b4
132380604287
141252a764ac
1596612bbca
hex5a012b128

24160416040 has 64 divisors (see below), whose sum is σ = 56238552720. Its totient is φ = 9335040000.

The previous prime is 24160415969. The next prime is 24160416041. The reversal of 24160416040 is 4061406142.

It can be written as a sum of positive squares in 8 ways, for example, as 6300231876 + 17860184164 = 79374^2 + 133642^2 .

It is not an unprimeable number, because it can be changed into a prime (24160416041) 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, 92710 + ... + 238570.

Almost surely, 224160416040 is an apocalyptic number.

24160416040 is a gapful number since it is divisible by the number (20) 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 24160416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119276360).

24160416040 is an abundant number, since it is smaller than the sum of its proper divisors (32078136680).

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

24160416040 is a wasteful number, since it uses less digits than its factorization.

24160416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146014 (or 146010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 24160416040 in words is "twenty-four billion, one hundred sixty million, four hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 101 164 202 205 328 404 410 505 808 820 1010 1640 2020 4040 4141 8282 16564 20705 33128 41410 82820 145861 165640 291722 583444 729305 1166888 1458610 2917220 5834440 5980301 11960602 14731961 23921204 29463922 29901505 47842408 58927844 59803010 73659805 117855688 119606020 147319610 239212040 294639220 589278440 604010401 1208020802 2416041604 3020052005 4832083208 6040104010 12080208020 24160416040