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13241422320 = 2435741192239
BaseRepresentation
bin11000101010100000…
…00001000111110000
31021011211001221121220
430111100001013300
5204104301003240
610025533345040
7646064142540
oct142520010760
937154057556
1013241422320
11568548a635
122696638180
131330400049
148d8851320
1552773e5d0
hex3154011f0

13241422320 has 160 divisors (see below), whose sum is σ = 48056924160. Its totient is φ = 2952775680.

The previous prime is 13241422319. The next prime is 13241422343. The reversal of 13241422320 is 2322414231.

It is a happy number.

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

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, 27240 + ... + 164999.

It is an arithmetic number, because the mean of its divisors is an integer number (300355776).

Almost surely, 213241422320 is an apocalyptic number.

13241422320 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 13241422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24028462080).

13241422320 is an abundant number, since it is smaller than the sum of its proper divisors (34815501840).

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

13241422320 is a wasteful number, since it uses less digits than its factorization.

13241422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192303 (or 192297 counting only the distinct ones).

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

Adding to 13241422320 its reverse (2322414231), we get a palindrome (15563836551).

The spelling of 13241422320 in words is "thirteen billion, two hundred forty-one million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 22960 34440 68880 192239 384478 576717 768956 961195 1153434 1345673 1537912 1922390 2306868 2691346 2883585 3075824 3844780 4037019 4613736 5382692 5767170 6728365 7689560 7881799 8074038 9227472 10765384 11534340 13456730 15379120 15763598 16148076 20185095 21530768 23068680 23645397 26913460 31527196 32296152 39408995 40370190 46137360 47290794 53826920 55172593 63054392 64592304 78817990 80740380 94581588 107653840 110345186 118226985 126108784 157635980 161480760 165517779 189163176 220690372 236453970 275862965 315271960 322961520 331035558 378326352 441380744 472907940 551725930 630543920 662071116 827588895 882761488 945815880 1103451860 1324142232 1655177790 1891631760 2206903720 2648284464 3310355580 4413807440 6620711160 13241422320