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13241141040 = 24351910972647
BaseRepresentation
bin11000101010011101…
…11100011100110000
31021011210112122210010
430111032330130300
5204104213003130
610025523334520
7646061561511
oct142516743460
937153478703
1013241141040
115685308276
122696521440
131330331cca
148d87baa08
155276d60b0
hex3153bc730

13241141040 has 160 divisors (see below), whose sum is σ = 43263659520. Its totient is φ = 3340818432.

The previous prime is 13241140993. The next prime is 13241141063. The reversal of 13241141040 is 4014114231.

13241141040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13241140998 and 13241141016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5000997 + ... + 5003643.

It is an arithmetic number, because the mean of its divisors is an integer number (270397872).

Almost surely, 213241141040 is an apocalyptic number.

13241141040 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 13241141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631829760).

13241141040 is an abundant number, since it is smaller than the sum of its proper divisors (30022518480).

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

13241141040 is a wasteful number, since it uses less digits than its factorization.

13241141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13241141040 its reverse (4014114231), we get a palindrome (17255255271).

The spelling of 13241141040 in words is "thirteen billion, two hundred forty-one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1097 1140 1520 2194 2280 2647 3291 4388 4560 5294 5485 6582 7941 8776 10588 10970 13164 13235 15882 16455 17552 20843 21176 21940 26328 26470 31764 32910 39705 41686 42352 43880 50293 52656 52940 62529 63528 65820 79410 83372 87760 100586 104215 105880 125058 127056 131640 150879 158820 166744 201172 208430 211760 250116 251465 263280 301758 312645 317640 333488 402344 416860 500232 502930 603516 625290 635280 754395 804688 833720 1000464 1005860 1207032 1250580 1508790 1667440 2011720 2414064 2501160 2903759 3017580 4023440 5002320 5807518 6035160 8711277 11615036 12070320 14518795 17422554 23230072 29037590 34845108 43556385 46460144 55171421 58075180 69690216 87112770 110342842 116150360 139380432 165514263 174225540 220685684 232300720 275857105 331028526 348451080 441371368 551714210 662057052 696902160 827571315 882742736 1103428420 1324114104 1655142630 2206856840 2648228208 3310285260 4413713680 6620570520 13241141040