Search a number
-
+
34144133430 = 23511103467071
BaseRepresentation
bin11111110011001001…
…100010000100110110
310021010120012200201110
4133303021202010312
51024411344232210
623404031135450
72316060226341
oct376311420466
9107116180643
1034144133430
11135315228a0
12674a974586
1332b1b10364
14191c99b458
15d4c870420
hex7f3262136

34144133430 has 32 divisors (see below), whose sum is σ = 89395550208. Its totient is φ = 8277365600.

The previous prime is 34144133411. The next prime is 34144133447. The reversal of 34144133430 is 3433144143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51733206 + ... + 51733865.

It is an arithmetic number, because the mean of its divisors is an integer number (2793610944).

Almost surely, 234144133430 is an apocalyptic number.

34144133430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34144133430 is an abundant number, since it is smaller than the sum of its proper divisors (55251416778).

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

34144133430 is a wasteful number, since it uses less digits than its factorization.

34144133430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103467092.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34144133430 its reverse (3433144143), we get a palindrome (37577277573).

The spelling of 34144133430 in words is "thirty-four billion, one hundred forty-four million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 103467071 206934142 310401213 517335355 620802426 1034670710 1138137781 1552006065 2276275562 3104012130 3414413343 5690688905 6828826686 11381377810 17072066715 34144133430