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5143067424 = 2532115330631
BaseRepresentation
bin1001100101000110…
…01111101100100000
3111021102120220011200
410302203033230200
541013111124144
62210201441200
7241310231445
oct46243175440
914242526150
105143067424
1121aa144750
12bb64a0200
1363c6a1181
1436b0a39cc
152017b6c69
hex1328cfb20

5143067424 has 144 divisors (see below), whose sum is σ = 16256769984. Its totient is φ = 1529049600.

The previous prime is 5143067393. The next prime is 5143067491. The reversal of 5143067424 is 4247603415.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51430674242 = 52902285055619991552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152589 + ... + 183219.

It is an arithmetic number, because the mean of its divisors is an integer number (112894236).

Almost surely, 25143067424 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 5143067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128384992).

5143067424 is an abundant number, since it is smaller than the sum of its proper divisors (11113702560).

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

5143067424 is a wasteful number, since it uses less digits than its factorization.

5143067424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30711 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5143067424 is about 71715.1826602986. The cubic root of 5143067424 is about 1726.1322733852.

The spelling of 5143067424 in words is "five billion, one hundred forty-three million, sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 792 848 954 1056 1166 1272 1584 1696 1749 1908 2332 2544 3168 3498 3816 4664 5088 5247 6996 7632 9328 10494 13992 15264 18656 20988 27984 30631 41976 55968 61262 83952 91893 122524 167904 183786 245048 275679 336941 367572 490096 551358 673882 735144 980192 1010823 1102716 1347764 1470288 1623443 2021646 2205432 2695528 2940576 3032469 3246886 4043292 4410864 4870329 5391056 6064938 6493772 8086584 8821728 9740658 10782112 12129876 12987544 14610987 16173168 17857873 19481316 24259752 25975088 29221974 32346336 35715746 38962632 48519504 51950176 53573619 58443948 71431492 77925264 97039008 107147238 116887896 142862984 155850528 160720857 214294476 233775792 285725968 321441714 428588952 467551584 571451936 642883428 857177904 1285766856 1714355808 2571533712 5143067424