Search a number
-
+
230411114032 = 241185710691429
BaseRepresentation
bin1101011010010110010…
…0101001011000110000
3211000201202011100022011
43112211210221120300
512233340221122112
6253503245452304
722434542104021
oct3264544513060
9730652140264
10230411114032
11897980812a0
12387a4271094
131895c9174c8
14b21ad84c48
155ed8209aa7
hex35a5929630

230411114032 has 80 divisors (see below), whose sum is σ = 488371197600. Its totient is φ = 104439121920.

The previous prime is 230411113993. The next prime is 230411114039.

230411114032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230411113994 and 230411114012.

It is not an unprimeable number, because it can be changed into a prime (230411114039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161238694 + ... + 161240122.

It is an arithmetic number, because the mean of its divisors is an integer number (6104639970).

Almost surely, 2230411114032 is an apocalyptic number.

230411114032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230411114032 is an abundant number, since it is smaller than the sum of its proper divisors (257960083568).

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

230411114032 is a wasteful number, since it uses less digits than its factorization.

230411114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 230411 and 114032, that added together give a palindrome (344443).

The spelling of 230411114032 in words is "two hundred thirty billion, four hundred eleven million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 857 1069 1429 1714 2138 2858 3428 4276 5716 6856 8552 9427 11432 11759 13712 15719 17104 18854 22864 23518 31438 37708 47036 62876 75416 94072 125752 150832 188144 251504 916133 1224653 1527601 1832266 2449306 3055202 3664532 4898612 6110404 7329064 9797224 10077463 12220808 13471183 14658128 16803611 19594448 20154926 24441616 26942366 33607222 40309852 53884732 67214444 80619704 107769464 134428888 161239408 215538928 268857776 1309154057 2618308114 5236616228 10473232456 14400694627 20946464912 28801389254 57602778508 115205557016 230411114032