Search a number
-
+
143224450262145 = 3257755576017719
BaseRepresentation
bin100000100100001100001010…
…011110110010010010000001
3200210010010100012021111210100
4200210030022132302102001
5122233042133231342040
61224340223142353013
742111424252221240
oct4044141236622201
9623103305244710
10143224450262145
11416aa16a356a3a
1214091a3672b769
1361bc013c17bb5
14275215962a957
1511858e3986b30
hex82430a7b2481

143224450262145 has 48 divisors (see below), whose sum is σ = 283724617962240. Its totient is φ = 65473156973952.

The previous prime is 143224450262129. The next prime is 143224450262161. The reversal of 143224450262145 is 541262054422341.

143224450262145 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 2 + 44 + 502 + 62 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (143224450262129) and next prime (143224450262161).

It is not a de Polignac number, because 143224450262145 - 24 = 143224450262129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 143224450262145.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20791596 + ... + 26809314.

It is an arithmetic number, because the mean of its divisors is an integer number (5910929540880).

Almost surely, 2143224450262145 is an apocalyptic number.

143224450262145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

143224450262145 is a deficient number, since it is larger than the sum of its proper divisors (140500167700095).

143224450262145 is a wasteful number, since it uses less digits than its factorization.

143224450262145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093294 (or 6093291 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 143224450262145 in words is "one hundred forty-three trillion, two hundred twenty-four billion, four hundred fifty million, two hundred sixty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 75557 226671 377785 528899 680013 1133355 1586697 2644495 3400065 4760091 6017719 7933485 18053157 23800455 30088595 42124033 54159471 90265785 126372099 210620165 270797355 379116297 631860495 1895581485 454680794483 1364042383449 2273403972415 3182765561381 4092127150347 6820211917245 9548296684143 15913827806905 20460635751735 28644890052429 47741483420715 143224450262145