Search a number
-
+
4450132310544 = 243267461249203
BaseRepresentation
bin100000011000010000010…
…0011100011101000010000
3120202102120101001022111100
41000300200203203220100
51040402332332414134
613244210151344400
7636340266342654
oct100604043435020
916672511038440
104450132310544
111466321746978
125ba570382100
13263851720b4b
1411555d634a64
157ab58b81999
hex40c208e3a10

4450132310544 has 60 divisors (see below), whose sum is σ = 12640073186416. Its totient is φ = 1461237471936.

The previous prime is 4450132310527. The next prime is 4450132310563.

4450132310544 is a `hidden beast` number, since 4 + 4 + 50 + 1 + 32 + 31 + 0 + 544 = 666.

4450132310544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4450132310499 and 4450132310508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230614954 + ... + 230634249.

Almost surely, 24450132310544 is an apocalyptic number.

It is an amenable number.

4450132310544 is an abundant number, since it is smaller than the sum of its proper divisors (8189940875872).

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

4450132310544 is a wasteful number, since it uses less digits than its factorization.

4450132310544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461249284 (or 461249275 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4450132310544 in words is "four trillion, four hundred fifty billion, one hundred thirty-two million, three hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 461249203 922498406 1383747609 1844996812 2767495218 3689993624 4151242827 5534990436 7379987248 8302485654 11069980872 16604971308 22139961744 30903696601 33209942616 61807393202 66419885232 92711089803 123614786404 185422179606 247229572808 278133269409 370844359212 494459145616 556266538818 741688718424 1112533077636 1483377436848 2225066155272 4450132310544