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24134134020 = 223519105120143
BaseRepresentation
bin10110011110100000…
…011010100100000100
32022021221122000222120
4112132200122210010
5343411314242040
615030450125540
71513031516523
oct263640324404
968257560876
1024134134020
11a2650a9107
1248165808b0
132378031699
14124d3944ba
15963b897d0
hex59e81a904

24134134020 has 96 divisors (see below), whose sum is σ = 71203399680. Its totient is φ = 6090940800.

The previous prime is 24134133973. The next prime is 24134134027. The reversal of 24134134020 is 2043143142.

It is not an unprimeable number, because it can be changed into a prime (24134134027) 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, 1188069 + ... + 1208211.

It is an arithmetic number, because the mean of its divisors is an integer number (741702080).

Almost surely, 224134134020 is an apocalyptic number.

24134134020 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 24134134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35601699840).

24134134020 is an abundant number, since it is smaller than the sum of its proper divisors (47069265660).

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

24134134020 is a wasteful number, since it uses less digits than its factorization.

24134134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21225 (or 21223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24134134020 its reverse (2043143142), we get a palindrome (26177277162).

The spelling of 24134134020 in words is "twenty-four billion, one hundred thirty-four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1051 1140 2102 3153 4204 5255 6306 10510 12612 15765 19969 20143 21020 31530 39938 40286 59907 60429 63060 79876 80572 99845 100715 119814 120858 199690 201430 239628 241716 299535 302145 382717 399380 402860 599070 604290 765434 1148151 1198140 1208580 1530868 1913585 2296302 3827170 4592604 5740755 7654340 11481510 21170293 22963020 42340586 63510879 84681172 105851465 127021758 211702930 254043516 317554395 402235567 423405860 635108790 804471134 1206706701 1270217580 1608942268 2011177835 2413413402 4022355670 4826826804 6033533505 8044711340 12067067010 24134134020