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24244012240 = 2457216633719
BaseRepresentation
bin10110100101000011…
…100100010011010000
32022120121101102120021
4112211003210103100
5344122431342430
615045413153224
71515534463300
oct264503442320
968517342507
1024244012240
11a311127258
12484732b814
132394a23496
14125dbd7600
1596d64107a
hex5a50e44d0

24244012240 has 120 divisors (see below), whose sum is σ = 65627228160. Its totient is φ = 8305000704.

The previous prime is 24244012223. The next prime is 24244012259. The reversal of 24244012240 is 4221044242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6517101 + ... + 6520819.

It is an arithmetic number, because the mean of its divisors is an integer number (546893568).

Almost surely, 224244012240 is an apocalyptic number.

24244012240 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 24244012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32813614080).

24244012240 is an abundant number, since it is smaller than the sum of its proper divisors (41383215920).

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

24244012240 is a wasteful number, since it uses less digits than its factorization.

24244012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 24244012240 its reverse (4221044242), we get a palindrome (28465056482).

The spelling of 24244012240 in words is "twenty-four billion, two hundred forty-four million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1663 1960 3326 3719 3920 6652 7438 8315 11641 13304 14876 16630 18595 23282 26033 26608 29752 33260 37190 46564 52066 58205 59504 66520 74380 81487 93128 104132 116410 130165 133040 148760 162974 182231 186256 208264 232820 260330 297520 325948 364462 407435 416528 465640 520660 651896 728924 814870 911155 931280 1041320 1303792 1457848 1629740 1822310 2082640 2915696 3259480 3644620 6184697 6518960 7289240 12369394 14578480 24738788 30923485 43292879 49477576 61846970 86585758 98955152 123693940 173171516 216464395 247387880 303050153 346343032 432928790 494775760 606100306 692686064 865857580 1212200612 1515250765 1731715160 2424401224 3030501530 3463430320 4848802448 6061003060 12122006120 24244012240