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24144133020 = 22357389147779
BaseRepresentation
bin10110011111000110…
…100011101110011100
32022022122110001000220
4112133012203232130
5343421344224040
615031444321340
71513212513240
oct263706435634
968278401026
1024144133020
11a26a808547
1248199a3250
13237a122957
141250838420
159649b22d0
hex59f1a3b9c

24144133020 has 96 divisors (see below), whose sum is σ = 77460364800. Its totient is φ = 5504434944.

The previous prime is 24144133001. The next prime is 24144133037. The reversal of 24144133020 is 2033144142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89491 + ... + 237269.

It is an arithmetic number, because the mean of its divisors is an integer number (806878800).

Almost surely, 224144133020 is an apocalyptic number.

24144133020 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 24144133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38730182400).

24144133020 is an abundant number, since it is smaller than the sum of its proper divisors (53316231780).

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

24144133020 is a wasteful number, since it uses less digits than its factorization.

24144133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148187 (or 148185 counting only the distinct ones).

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

Adding to 24144133020 its reverse (2033144142), we get a palindrome (26177277162).

The spelling of 24144133020 in words is "twenty-four billion, one hundred forty-four million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 389 420 778 1167 1556 1945 2334 2723 3890 4668 5446 5835 7780 8169 10892 11670 13615 16338 23340 27230 32676 40845 54460 81690 147779 163380 295558 443337 591116 738895 886674 1034453 1477790 1773348 2068906 2216685 2955580 3103359 4137812 4433370 5172265 6206718 8866740 10344530 12413436 15516795 20689060 31033590 57486031 62067180 114972062 172458093 229944124 287430155 344916186 402402217 574860310 689832372 804804434 862290465 1149720620 1207206651 1609608868 1724580930 2012011085 2414413302 3449161860 4024022170 4828826604 6036033255 8048044340 12072066510 24144133020