Search a number
-
+
5142336435 = 345237432
BaseRepresentation
bin1001100101000000…
…11101001110110011
3111021101012202110000
410302200131032303
541012414231220
62210134041043
7241301065335
oct46240351663
914241182400
105142336435
1121a9795525
12bb61a9183
1363c4a6532
1436ad53455
152016c0390
hex13281d3b3

5142336435 has 60 divisors (see below), whose sum is σ = 9631865232. Its totient is φ = 2619806112.

The previous prime is 5142336431. The next prime is 5142336449. The reversal of 5142336435 is 5346332415.

5142336435 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 3 + 3 + 643 + 5 = 666.

It is not a de Polignac number, because 5142336435 - 22 = 5142336431 is a prime.

It is a super-3 number, since 3×51423364353 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5142336435.

It is not an unprimeable number, because it can be changed into a prime (5142336431) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6920674 + ... + 6921416.

Almost surely, 25142336435 is an apocalyptic number.

5142336435 is a deficient number, since it is larger than the sum of its proper divisors (4489528797).

5142336435 is an frugal number, since it uses more digits than its factorization.

5142336435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 774 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 5142336435 is about 71710.0860060842. The cubic root of 5142336435 is about 1726.0504905771.

The spelling of 5142336435 in words is "five billion, one hundred forty-two million, three hundred thirty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 345 405 621 743 1035 1863 2229 3105 3715 6687 9315 11145 17089 20061 33435 51267 60183 85445 100305 153801 256335 300915 461403 552049 769005 1384209 1656147 2307015 2760245 4968441 6921045 8280735 12697127 14905323 24842205 38091381 44715969 63485635 74526615 114274143 190456905 223579845 342822429 571370715 1028467287 1714112145 5142336435