Search a number
-
+
5034302040 = 2335318391613
BaseRepresentation
bin1001011000001000…
…10101101001011000
3110222211221001010010
410230010111221120
540302240131130
62151314321520
7235516601265
oct45404255130
913884831103
105034302040
1121538066a9
12b85b892a0
13622caba61
1435a87026c
151e6e800b0
hex12c115a58

5034302040 has 128 divisors (see below), whose sum is σ = 15618355200. Its totient is φ = 1296821760.

The previous prime is 5034302033. The next prime is 5034302047. The reversal of 5034302040 is 402034305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5034302033) and next prime (5034302047).

It is a junction number, because it is equal to n+sod(n) for n = 5034301998 and 5034302016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034302047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3120274 + ... + 3121886.

It is an arithmetic number, because the mean of its divisors is an integer number (122018400).

Almost surely, 25034302040 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 5034302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809177600).

5034302040 is an abundant number, since it is smaller than the sum of its proper divisors (10584053160).

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

5034302040 is a wasteful number, since it uses less digits than its factorization.

5034302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5034302040 is about 70952.8155889532. The cubic root of 5034302040 is about 1713.8774158966.

Adding to 5034302040 its reverse (402034305), we get a palindrome (5436336345).

The spelling of 5034302040 in words is "five billion, thirty-four million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 839 930 1240 1613 1678 1860 2517 3226 3356 3720 4195 4839 5034 6452 6712 8065 8390 9678 10068 12585 12904 16130 16780 19356 20136 24195 25170 26009 32260 33560 38712 48390 50003 50340 52018 64520 78027 96780 100006 100680 104036 130045 150009 156054 193560 200012 208072 250015 260090 300018 312108 390135 400024 500030 520180 600036 624216 750045 780270 1000060 1040360 1200072 1353307 1500090 1560540 2000120 2706614 3000180 3121080 4059921 5413228 6000360 6766535 8119842 10826456 13533070 16239684 20299605 27066140 32479368 40599210 41952517 54132280 81198420 83905034 125857551 162396840 167810068 209762585 251715102 335620136 419525170 503430204 629287755 839050340 1006860408 1258575510 1678100680 2517151020 5034302040