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1243133440 = 2952343491
BaseRepresentation
bin100101000011000…
…1011011000000000
310012122011201111021
41022012023120000
510021220232230
6323204355224
742543313513
oct11206133000
93178151437
101243133440
1158879760a
122a83a5b14
1316a717323
14bb15ad7a
157420ac7a
hex4a18b600

1243133440 has 160 divisors (see below), whose sum is σ = 3189010176. Its totient is φ = 463626240.

The previous prime is 1243133329. The next prime is 1243133443. The reversal of 1243133440 is 443313421.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243133443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531595 + ... + 2532085.

Almost surely, 21243133440 is an apocalyptic number.

1243133440 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 1243133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594505088).

1243133440 is an abundant number, since it is smaller than the sum of its proper divisors (1945876736).

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

1243133440 is an equidigital number, since it uses as much as digits as its factorization.

1243133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 1243133440 is about 35258.0975096502. The cubic root of 1243133440 is about 1075.2412481814.

Adding to 1243133440 its reverse (443313421), we get a palindrome (1686446861).

The spelling of 1243133440 in words is "one billion, two hundred forty-three million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 43 46 64 80 86 92 115 128 160 172 184 215 230 256 320 344 368 430 460 491 512 640 688 736 860 920 982 989 1280 1376 1472 1720 1840 1964 1978 2455 2560 2752 2944 3440 3680 3928 3956 4910 4945 5504 5888 6880 7360 7856 7912 9820 9890 11008 11293 11776 13760 14720 15712 15824 19640 19780 21113 22016 22586 27520 29440 31424 31648 39280 39560 42226 45172 55040 56465 58880 62848 63296 78560 79120 84452 90344 105565 110080 112930 125696 126592 157120 158240 168904 180688 211130 225860 251392 253184 314240 316480 337808 361376 422260 451720 485599 506368 628480 632960 675616 722752 844520 903440 971198 1256960 1265920 1351232 1445504 1689040 1806880 1942396 2427995 2531840 2702464 2891008 3378080 3613760 3884792 4855990 5404928 5782016 6756160 7227520 7769584 9711980 10809856 13512320 14455040 15539168 19423960 27024640 28910080 31078336 38847920 54049280 62156672 77695840 124313344 155391680 248626688 310783360 621566720 1243133440