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13143143040 = 27359770571
BaseRepresentation
bin11000011110110010…
…00111001010000000
31020220222010211210120
430033121013022000
5203404121034130
610012103100240
7643461605166
oct141731071200
936828124716
1013143143040
115634a63995
122669741680
131315c3c821
148c978b236
1551dcc9910
hex30f647280

13143143040 has 128 divisors (see below), whose sum is σ = 42326262720. Its totient is φ = 3468656640.

The previous prime is 13143142993. The next prime is 13143143047. The reversal of 13143143040 is 4034134131.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13143143040.

It is not an unprimeable number, because it can be changed into a prime (13143143047) 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, 150955 + ... + 221525.

Almost surely, 213143143040 is an apocalyptic number.

13143143040 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 13143143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163131360).

13143143040 is an abundant number, since it is smaller than the sum of its proper divisors (29183119680).

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

13143143040 is an equidigital number, since it uses as much as digits as its factorization.

13143143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70690 (or 70678 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13143143040 its reverse (4034134131), we get a palindrome (17177277171).

It can be divided in two parts, 131431 and 43040, that added together give a palindrome (174471).

The spelling of 13143143040 in words is "thirteen billion, one hundred forty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 291 320 384 388 480 485 582 640 776 960 970 1164 1455 1552 1920 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 12416 15520 18624 23280 31040 37248 46560 62080 70571 93120 141142 186240 211713 282284 352855 423426 564568 705710 846852 1058565 1129136 1411420 1693704 2117130 2258272 2822840 3387408 4234260 4516544 5645680 6774816 6845387 8468520 9033088 11291360 13549632 13690774 16937040 20536161 22582720 27099264 27381548 33874080 34226935 41072322 45165440 54763096 67748160 68453870 82144644 102680805 109526192 135496320 136907740 164289288 205361610 219052384 273815480 328578576 410723220 438104768 547630960 657157152 821446440 876209536 1095261920 1314314304 1642892880 2190523840 2628628608 3285785760 4381047680 6571571520 13143143040