Search a number
-
+
1141828275978 = 232137129684473
BaseRepresentation
bin10000100111011010010…
…001001100111100001010
311001011020222100100101100
4100213122101030330022
5122201431014312403
62232314302402230
7145331366131005
oct20473221147412
94034228310340
101141828275978
11400279326915
12165363b90376
138389b86ac30
143d39c7cc53c
151ea7cc292a3
hex109da44cf0a

1141828275978 has 48 divisors (see below), whose sum is σ = 2664643592520. Its totient is φ = 351281981952.

The previous prime is 1141828275971. The next prime is 1141828276003. The reversal of 1141828275978 is 8795728281411.

1141828275978 is a `hidden beast` number, since 1 + 1 + 4 + 18 + 2 + 8 + 27 + 597 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 566516644929 + 575311631049 = 752673^2 + 758493^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1141828275971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325950 + ... + 2010422.

Almost surely, 21141828275978 is an apocalyptic number.

1141828275978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1141828275978 is an abundant number, since it is smaller than the sum of its proper divisors (1522815316542).

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

1141828275978 is a wasteful number, since it uses less digits than its factorization.

1141828275978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691623 (or 691620 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 63.

The spelling of 1141828275978 in words is "one trillion, one hundred forty-one billion, eight hundred twenty-eight million, two hundred seventy-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 7129 14258 21387 42774 64161 92677 128322 185354 278031 556062 684473 834093 1368946 1668186 2053419 4106838 6160257 8898149 12320514 17796298 26694447 53388894 80083341 160166682 4879608017 9759216034 14638824051 29277648102 43916472153 63434904221 87832944306 126869808442 190304712663 380609425326 570914137989 1141828275978