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13023141040 = 24571317105229
BaseRepresentation
bin11000010000011110…
…10101110010110000
31020121121100010000001
430020033111302300
5203132411003130
65552135035344
7640503605140
oct141017256260
936547303001
1013023141040
115583250688
12263550bb54
1312c7114a20
148b7870920
155134c36ca
hex3083d5cb0

13023141040 has 160 divisors (see below), whose sum is σ = 39458724480. Its totient is φ = 3879124992.

The previous prime is 13023141037. The next prime is 13023141059. The reversal of 13023141040 is 4014132031.

It is a junction number, because it is equal to n+sod(n) for n = 13023140999 and 13023141017.

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, 71146 + ... + 176374.

It is an arithmetic number, because the mean of its divisors is an integer number (246617028).

Almost surely, 213023141040 is an apocalyptic number.

13023141040 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 13023141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729362240).

13023141040 is an abundant number, since it is smaller than the sum of its proper divisors (26435583440).

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

13023141040 is a wasteful number, since it uses less digits than its factorization.

13023141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105279 (or 105273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13023141040 its reverse (4014132031), we get a palindrome (17037273071).

Subtracting from 13023141040 its reverse (4014132031), we obtain a palindrome (9009009009).

The spelling of 13023141040 in words is "thirteen billion, twenty-three million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 238 260 272 280 340 364 442 455 476 520 560 595 680 728 884 910 952 1040 1105 1190 1360 1456 1547 1768 1820 1904 2210 2380 3094 3536 3640 4420 4760 6188 7280 7735 8840 9520 12376 15470 17680 24752 30940 61880 105229 123760 210458 420916 526145 736603 841832 1052290 1367977 1473206 1683664 1788893 2104580 2735954 2946412 3577786 3683015 4209160 5471908 5892824 6839885 7155572 7366030 8418320 8944465 9575839 10943816 11785648 12522251 13679770 14311144 14732060 17888930 19151678 21887632 23255609 25044502 27359540 28622288 29464120 35777860 38303356 46511218 47879195 50089004 54719080 58928240 62611255 71555720 76606712 93022436 95758390 100178008 109438160 116278045 125222510 143111440 153213424 162789263 186044872 191516780 200356016 232556090 250445020 325578526 372089744 383033560 465112180 500890040 651157052 766067120 813946315 930224360 1001780080 1302314104 1627892630 1860448720 2604628208 3255785260 6511570520 13023141040