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4514353140 = 22351159115931
BaseRepresentation
bin1000011010001001…
…11000111111110100
3102122121112220022110
410031010320333310
533221133300030
62023542131020
7216604240263
oct41504707764
912577486273
104514353140
111a07264370
12a5ba20a70
1356c36089b
1430b7a45da
151b64c61b0
hex10d138ff4

4514353140 has 96 divisors (see below), whose sum is σ = 14023134720. Its totient is φ = 1075830400.

The previous prime is 4514353133. The next prime is 4514353147. The reversal of 4514353140 is 413534154.

It is an interprime number because it is at equal distance from previous prime (4514353133) and next prime (4514353147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4514353098 and 4514353107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4514353147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19026 + ... + 96905.

It is an arithmetic number, because the mean of its divisors is an integer number (146074320).

Almost surely, 24514353140 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 4514353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011567360).

4514353140 is an abundant number, since it is smaller than the sum of its proper divisors (9508781580).

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

4514353140 is a wasteful number, since it uses less digits than its factorization.

4514353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116013 (or 116011 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4514353140 is about 67188.9361427907. The cubic root of 4514353140 is about 1652.7170587110.

Adding to 4514353140 its reverse (413534154), we get a palindrome (4927887294).

The spelling of 4514353140 in words is "four billion, five hundred fourteen million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12980 19470 38940 115931 231862 347793 463724 579655 695586 1159310 1275241 1391172 1738965 2318620 2550482 3477930 3825723 5100964 6376205 6839929 6955860 7651446 12752410 13679858 15302892 19128615 20519787 25504820 27359716 34199645 38257230 41039574 68399290 75239219 76514460 82079148 102598935 136798580 150478438 205197870 225717657 300956876 376196095 410395740 451435314 752392190 902870628 1128588285 1504784380 2257176570 4514353140