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13143221040 = 2435611376553
BaseRepresentation
bin11000011110110010…
…11010001100110000
31020220222021210210110
430033121122030300
5203404131033130
610012104501320
7643462351455
oct141731321460
936828253713
1013143221040
115635007554
12266977a840
131315c69191
148c97ab82c
1551dce2ab0
hex30f65a330

13143221040 has 160 divisors (see below), whose sum is σ = 41720561856. Its totient is φ = 3421716480.

The previous prime is 13143220933. The next prime is 13143221111. The reversal of 13143221040 is 4012234131.

It is a junction number, because it is equal to n+sod(n) for n = 13143220998 and 13143221016.

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, 2002404 + ... + 2008956.

Almost surely, 213143221040 is an apocalyptic number.

13143221040 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 13143221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20860280928).

13143221040 is an abundant number, since it is smaller than the sum of its proper divisors (28577340816).

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

13143221040 is a wasteful number, since it uses less digits than its factorization.

13143221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13143221040 its reverse (4012234131), we get a palindrome (17155455171).

The spelling of 13143221040 in words is "thirteen billion, one hundred forty-three million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 137 183 240 244 274 305 366 411 488 548 610 685 732 822 915 976 1096 1220 1370 1464 1644 1830 2055 2192 2440 2740 2928 3288 3660 4110 4880 5480 6553 6576 7320 8220 8357 10960 13106 14640 16440 16714 19659 25071 26212 32765 32880 33428 39318 41785 50142 52424 65530 66856 78636 83570 98295 100284 104848 125355 131060 133712 157272 167140 196590 200568 250710 262120 314544 334280 393180 399733 401136 501420 524240 668560 786360 799466 897761 1002840 1199199 1572720 1598932 1795522 1998665 2005680 2398398 2693283 3197864 3591044 3997330 4488805 4796796 5386566 5995995 6395728 7182088 7994660 8977610 9593592 10773132 11991990 13466415 14364176 15989320 17955220 19187184 21546264 23983980 26932830 31978640 35910440 43092528 47967960 53865660 54763421 71820880 95935920 107731320 109526842 164290263 215462640 219053684 273817105 328580526 438107368 547634210 657161052 821451315 876214736 1095268420 1314322104 1642902630 2190536840 2628644208 3285805260 4381073680 6571610520 13143221040