Search a number
-
+
3041201034216 = 2332193892324527
BaseRepresentation
bin101100010000010101101…
…101010001001111101000
3101202201212112021200011100
4230100111231101033220
5344311334431043331
610245035232401400
7432501540161262
oct54202555211750
911681775250140
103041201034216
11a72847777584
124114a40a6260
13190a266795a7
14a72a2bc2b32
15541968bcae6
hex2c415b513e8

3041201034216 has 96 divisors (see below), whose sum is σ = 8280528197760. Its totient is φ = 1008327038976.

The previous prime is 3041201034197. The next prime is 3041201034227. The reversal of 3041201034216 is 6124301021403.

It is a happy number.

3041201034216 is a `hidden beast` number, since 3 + 0 + 412 + 0 + 1 + 0 + 34 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3041201034216.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 123981745 + ... + 124006271.

It is an arithmetic number, because the mean of its divisors is an integer number (86255502060).

Almost surely, 23041201034216 is an apocalyptic number.

3041201034216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041201034216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140264098880).

3041201034216 is an abundant number, since it is smaller than the sum of its proper divisors (5239327163544).

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

3041201034216 is a wasteful number, since it uses less digits than its factorization.

3041201034216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33655 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3041201034216 its reverse (6124301021403), we get a palindrome (9165502055619).

The spelling of 3041201034216 in words is "three trillion, forty-one billion, two hundred one million, thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 8923 13896 17846 24527 26769 35692 49054 53538 71384 73581 80307 98108 107076 147162 160614 196216 214152 220743 294324 321228 441486 588648 642456 882972 1722139 1765944 3444278 4733711 5166417 6888556 9467422 10332834 13777112 14201133 15499251 18934844 20665668 28402266 30998502 37869688 41331336 42603399 56804532 61997004 85206798 113609064 123994008 170413596 218854421 340827192 437708842 656563263 875417684 1313126526 1750835368 1969689789 2626253052 3939379578 5252506104 7878759156 15757518312 42238903253 84477806506 126716709759 168955613012 253433419518 337911226024 380150129277 506866839036 760300258554 1013733678072 1520600517108 3041201034216