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4143134000 = 245371163179
BaseRepresentation
bin1111011011110011…
…0011010100110000
3101200202001000101102
43312330303110300
531441120242000
61523041423532
7204446025605
oct36674632460
911622030342
104143134000
111836766995
1297763aba8
135104883a5
142b43726ac
15193aea3d5
hexf6f33530

4143134000 has 160 divisors (see below), whose sum is σ = 10278627840. Its totient is φ = 1614816000.

The previous prime is 4143133997. The next prime is 4143134033. The reversal of 4143134000 is 4313414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 23145911 + ... + 23146089.

It is an arithmetic number, because the mean of its divisors is an integer number (64241424).

Almost surely, 24143134000 is an apocalyptic number.

4143134000 is a gapful number since it is divisible by the number (40) 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 4143134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139313920).

4143134000 is an abundant number, since it is smaller than the sum of its proper divisors (6135493840).

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

4143134000 is a wasteful number, since it uses less digits than its factorization.

4143134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4143134000 is about 64367.1810785590. The cubic root of 4143134000 is about 1606.1138478669.

Adding to 4143134000 its reverse (4313414), we get a palindrome (4147447414).

The spelling of 4143134000 in words is "four billion, one hundred forty-three million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 163 179 200 250 284 326 355 358 400 500 568 652 710 716 815 895 1000 1136 1304 1420 1432 1630 1775 1790 2000 2608 2840 2864 3260 3550 3580 4075 4475 5680 6520 7100 7160 8150 8875 8950 11573 12709 13040 14200 14320 16300 17750 17900 20375 22375 23146 25418 28400 29177 32600 35500 35800 40750 44750 46292 50836 57865 58354 63545 65200 71000 71600 81500 89500 92584 101672 115730 116708 127090 142000 145885 163000 179000 185168 203344 231460 233416 254180 289325 291770 317725 326000 358000 462920 466832 508360 578650 583540 635450 729425 925840 1016720 1157300 1167080 1270900 1446625 1458850 1588625 2071567 2314600 2334160 2541800 2893250 2917700 3177250 3647125 4143134 4629200 5083600 5786500 5835400 6354500 7294250 8286268 10357835 11573000 11670800 12709000 14588500 16572536 20715670 23146000 25418000 29177000 33145072 41431340 51789175 58354000 82862680 103578350 165725360 207156700 258945875 414313400 517891750 828626800 1035783500 2071567000 4143134000