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3143201424 = 24311291311567
BaseRepresentation
bin1011101101011001…
…0111001010010000
322010001111011202120
42323112113022100
522414124421144
61235521414240
7140614525356
oct27326271220
98101434676
103143201424
111373289830
1273879a380
133b1272acc
1421b6417d6
15135e2de19
hexbb597290

3143201424 has 160 divisors (see below), whose sum is σ = 9239408640. Its totient is φ = 912038400.

The previous prime is 3143201423. The next prime is 3143201437. The reversal of 3143201424 is 4241023413.

3143201424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3143201394 and 3143201403.

It is not an unprimeable number, because it can be changed into a prime (3143201423) 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, 2005089 + ... + 2006655.

It is an arithmetic number, because the mean of its divisors is an integer number (57746304).

Almost surely, 23143201424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

3143201424 is an abundant number, since it is smaller than the sum of its proper divisors (6096207216).

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

3143201424 is a wasteful number, since it uses less digits than its factorization.

3143201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3143201424 is about 56064.2615576091. The cubic root of 3143201424 is about 1464.8418446453.

Adding to 3143201424 its reverse (4241023413), we get a palindrome (7384224837).

The spelling of 3143201424 in words is "three billion, one hundred forty-three million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 131 132 174 176 232 262 264 319 348 393 464 524 528 638 696 786 957 1048 1276 1392 1441 1567 1572 1914 2096 2552 2882 3134 3144 3799 3828 4323 4701 5104 5764 6268 6288 7598 7656 8646 9402 11397 11528 12536 15196 15312 17237 17292 18804 22794 23056 25072 30392 34474 34584 37608 41789 45443 45588 51711 60784 68948 69168 75216 83578 90886 91176 103422 125367 136329 137896 167156 181772 182352 205277 206844 250734 272658 275792 334312 363544 410554 413688 499873 501468 545316 615831 668624 727088 821108 827376 999746 1002936 1090632 1231662 1499619 1642216 1999492 2005872 2181264 2258047 2463324 2999238 3284432 3998984 4516094 4926648 5953033 5998476 6774141 7997968 9032188 9853296 11906066 11996952 13548282 17859099 18064376 23812132 23993904 27096564 35718198 36128752 47624264 54193128 65483363 71436396 95248528 108386256 130966726 142872792 196450089 261933452 285745584 392900178 523866904 785800356 1047733808 1571600712 3143201424