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2143142040 = 2335132814889
BaseRepresentation
bin111111110111101…
…1100000010011000
312112100200220012010
41333233130002120
513342121021130
6552354545520
7104052256344
oct17757340230
95470626163
102143142040
119aa825376
124b98982a0
132820148b0
141648ba624
15c823a0b0
hex7fbdc098

2143142040 has 128 divisors (see below), whose sum is σ = 6950059200. Its totient is φ = 525557760.

The previous prime is 2143142033. The next prime is 2143142041. The reversal of 2143142040 is 402413412.

It is a junction number, because it is equal to n+sod(n) for n = 2143141998 and 2143142016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143142041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435916 + ... + 440804.

Almost surely, 22143142040 is an apocalyptic number.

2143142040 is a gapful number since it is divisible by the number (20) 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 2143142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475029600).

2143142040 is an abundant number, since it is smaller than the sum of its proper divisors (4806917160).

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

2143142040 is a wasteful number, since it uses less digits than its factorization.

2143142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2143142040 is about 46294.0821272007. The cubic root of 2143142040 is about 1289.2891221812.

Adding to 2143142040 its reverse (402413412), we get a palindrome (2545555452).

The spelling of 2143142040 in words is "two billion, one hundred forty-three million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 281 312 390 520 562 780 843 1124 1405 1560 1686 2248 2810 3372 3653 4215 4889 5620 6744 7306 8430 9778 10959 11240 14612 14667 16860 18265 19556 21918 24445 29224 29334 33720 36530 39112 43836 48890 54795 58668 63557 73060 73335 87672 97780 109590 117336 127114 146120 146670 190671 195560 219180 254228 293340 317785 381342 438360 508456 586680 635570 762684 953355 1271140 1373809 1525368 1906710 2542280 2747618 3813420 4121427 5495236 6869045 7626840 8242854 10990472 13738090 16485708 17859517 20607135 27476180 32971416 35719034 41214270 53578551 54952360 71438068 82428540 89297585 107157102 142876136 164857080 178595170 214314204 267892755 357190340 428628408 535785510 714380680 1071571020 2143142040