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13224123240 = 23352330715607
BaseRepresentation
bin11000101000011100…
…00001101101101000
31021010121112001202020
430110032001231220
5204040333420430
610024114504440
7645464123106
oct142416015550
937117461666
1013224123240
115676744579
122690895120
1313299540c3
148d642ac76
15525e73b10
hex314381b68

13224123240 has 128 divisors (see below), whose sum is σ = 41534760960. Its totient is φ = 3361906944.

The previous prime is 13224123233. The next prime is 13224123257. The reversal of 13224123240 is 4232142231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13224123240.

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, 839517 + ... + 855123.

It is an arithmetic number, because the mean of its divisors is an integer number (324490320).

Almost surely, 213224123240 is an apocalyptic number.

13224123240 is a gapful number since it is divisible by the number (10) 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 13224123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20767380480).

13224123240 is an abundant number, since it is smaller than the sum of its proper divisors (28310637720).

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

13224123240 is a wasteful number, since it uses less digits than its factorization.

13224123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15951 (or 15947 counting only the distinct ones).

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

Adding to 13224123240 its reverse (4232142231), we get a palindrome (17456265471).

The spelling of 13224123240 in words is "thirteen billion, two hundred twenty-four million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 307 345 460 552 614 690 920 921 1228 1380 1535 1842 2456 2760 3070 3684 4605 6140 7061 7368 9210 12280 14122 15607 18420 21183 28244 31214 35305 36840 42366 46821 56488 62428 70610 78035 84732 93642 105915 124856 141220 156070 169464 187284 211830 234105 282440 312140 358961 374568 423660 468210 624280 717922 847320 936420 1076883 1435844 1794805 1872840 2153766 2871688 3589610 4307532 4791349 5384415 7179220 8615064 9582698 10768830 14358440 14374047 19165396 21537660 23956745 28748094 38330792 43075320 47913490 57496188 71870235 95826980 110201027 114992376 143740470 191653960 220402054 287480940 330603081 440804108 551005135 574961880 661206162 881608216 1102010270 1322412324 1653015405 2204020540 2644824648 3306030810 4408041080 6612061620 13224123240