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320234141034 = 23413745731573
BaseRepresentation
bin1001010100011110111…
…00010011010101101010
31010121120200000220010000
410222033130103111222
520221314420003114
6403040305003430
732064462200223
oct4521734232552
91117520026100
10320234141034
111138a0907a05
1252091923576
1324275b85622
14116dc57624a
1584e3c79e09
hex4a8f71356a

320234141034 has 80 divisors (see below), whose sum is σ = 724403923848. Its totient is φ = 105730334208.

The previous prime is 320234141033. The next prime is 320234141039. The reversal of 320234141034 is 430141432023.

320234141034 is a `hidden beast` number, since 3 + 202 + 3 + 41 + 410 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 310530906009 + 9703235025 = 557253^2 + 98505^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 320234140989 and 320234141007.

It is not an unprimeable number, because it can be changed into a prime (320234141033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10126872 + ... + 10158444.

Almost surely, 2320234141034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320234141034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362201961924).

320234141034 is an abundant number, since it is smaller than the sum of its proper divisors (404169782814).

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

320234141034 is a wasteful number, since it uses less digits than its factorization.

320234141034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32181 (or 32172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 320234141034 its reverse (430141432023), we get a palindrome (750375573057).

The spelling of 320234141034 in words is "three hundred twenty billion, two hundred thirty-four million, one hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 457 822 914 1233 1371 2466 2742 3699 4113 7398 8226 11097 12339 22194 24678 31573 37017 62609 63146 74034 94719 125218 187827 189438 284157 375654 563481 568314 852471 1126962 1690443 1704942 2557413 3380886 4325501 5071329 5114826 8651002 10142658 12976503 14428861 25953006 28857722 38929509 43286583 77859018 86573166 116788527 129859749 233577054 259719498 350365581 389579247 700731162 779158494 1168737741 1976753957 2337475482 3953507914 5930261871 11860523742 17790785613 35581571226 53372356839 106744713678 160117070517 320234141034