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431234432134 = 211176311827311
BaseRepresentation
bin1100100011001111001…
…00110011110010000110
31112020002110122220220121
412101213210303302012
524031132003312014
6530034550252154
743104251123242
oct6214744636206
91466073586817
10431234432134
1115698165a580
126b6ab65705a
133188569204c
1416c2c541422
15b33dab0124
hex6467933c86

431234432134 has 32 divisors (see below), whose sum is σ = 748350047232. Its totient is φ = 184192848000.

The previous prime is 431234432131. The next prime is 431234432137.

431234432134 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (431234432131) and next prime (431234432137).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 431234432134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431234432131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677662 + ... + 1149649.

It is an arithmetic number, because the mean of its divisors is an integer number (23385938976).

Almost surely, 2431234432134 is an apocalyptic number.

431234432134 is a deficient number, since it is larger than the sum of its proper divisors (317115615098).

431234432134 is a wasteful number, since it uses less digits than its factorization.

431234432134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827972.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 431234 and 432134, that added together give a palindrome (863368).

The spelling of 431234432134 in words is "four hundred thirty-one billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 11 17 22 34 187 374 631 1262 6941 10727 13882 21454 117997 235994 1827311 3654622 20100421 31064287 40200842 62128574 341707157 683414314 1153033241 2306066482 12683365651 19601565097 25366731302 39203130194 215617216067 431234432134