Search a number
-
+
11414124003232 = 258338913218363
BaseRepresentation
bin1010011000011000111011…
…0011100111111110100000
31111102011211221000202100001
42212012032303213332200
52444002111221100412
640135324242105344
72255433430136326
oct246061663477640
944364757022301
1011414124003232
113700780485a55
12134417304b254
1364a468c6a352
142b663748dd16
1514bd9302c957
hexa618ece7fa0

11414124003232 has 96 divisors (see below), whose sum is σ = 22820750447040. Its totient is φ = 5618878679040.

The previous prime is 11414124003193. The next prime is 11414124003263. The reversal of 11414124003232 is 23230042141411.

It is a happy number.

It is a super-2 number, since 2×114141240032322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11414124003232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364831883 + ... + 1364840245.

It is an arithmetic number, because the mean of its divisors is an integer number (237716150490).

Almost surely, 211414124003232 is an apocalyptic number.

It is an amenable number.

11414124003232 is a deficient number, since it is larger than the sum of its proper divisors (11406626443808).

11414124003232 is a wasteful number, since it uses less digits than its factorization.

11414124003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11414124003232 its reverse (23230042141411), we get a palindrome (34644166144643).

The spelling of 11414124003232 in words is "eleven trillion, four hundred fourteen billion, one hundred twenty-four million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 83 166 332 389 664 778 1321 1328 1556 2642 2656 3112 5284 6224 8363 10568 12448 16726 21136 32287 33452 42272 64574 66904 109643 129148 133808 219286 258296 267616 438572 513869 516592 694129 877144 1027738 1033184 1388258 1754288 2055476 2776516 3253207 3508576 4110952 5553032 6506414 8221904 11047523 11106064 13012828 16443808 22095046 22212128 26025656 42651127 44190092 52051312 85302254 88380184 104102624 170604508 176760368 270016181 341209016 353520736 540032362 682418032 916944409 1080064724 1364836064 1833888818 2160129448 3667777636 4297486447 4320258896 7335555272 8594972894 8640517792 14671110544 17189945788 29342221088 34379891576 68759783152 137519566304 356691375101 713382750202 1426765500404 2853531000808 5707062001616 11414124003232