Search a number
-
+
230421043104 = 2537342888457
BaseRepresentation
bin1101011010011000101…
…0100001011110100000
3211000202102211210102120
43112212022201132200
512233400241334404
6253504242344240
722435022356530
oct3264612413640
9730672753376
10230421043104
11897a274313a
12387a765b080
13189619b29b5
14b21c40b4c0
155ed901b9d9
hex35a62a17a0

230421043104 has 48 divisors (see below), whose sum is σ = 691263131328. Its totient is φ = 65834583552.

The previous prime is 230421043091. The next prime is 230421043109. The reversal of 230421043104 is 401340124032.

230421043104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230421043109) 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 7 ways as a sum of consecutive naturals, for example, 171443557 + ... + 171444900.

It is an arithmetic number, because the mean of its divisors is an integer number (14401315236).

Almost surely, 2230421043104 is an apocalyptic number.

230421043104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230421043104 is an abundant number, since it is smaller than the sum of its proper divisors (460842088224).

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

230421043104 is a wasteful number, since it uses less digits than its factorization.

230421043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342888477 (or 342888469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 230421043104 its reverse (401340124032), we get a palindrome (631761167136).

The spelling of 230421043104 in words is "two hundred thirty billion, four hundred twenty-one million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 342888457 685776914 1028665371 1371553828 2057330742 2400219199 2743107656 4114661484 4800438398 5486215312 7200657597 8229322968 9600876796 10972430624 14401315194 16458645936 19201753592 28802630388 32917291872 38403507184 57605260776 76807014368 115210521552 230421043104