Search a number
-
+
1141075274625 = 325311138397881
BaseRepresentation
bin10000100110101101011…
…000101110101110000001
311001002022111102220201100
4100212231120232232001
5122143410232242000
62232111443125013
7145303623541536
oct20465530565601
94032274386640
101141075274625
113aaa22276850
12165193973769
13837ab8622c0
143d32a7b8d8d
151ea36a87a00
hex109ad62eb81

1141075274625 has 384 divisors, whose sum is σ = 2473723639296. Its totient is φ = 498769920000.

The previous prime is 1141075274617. The next prime is 1141075274641. The reversal of 1141075274625 is 5264725701411.

1141075274625 is a `hidden beast` number, since 1 + 1 + 4 + 10 + 7 + 5 + 2 + 7 + 4 + 625 = 666.

It is not a de Polignac number, because 1141075274625 - 23 = 1141075274617 is a prime.

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

It is a Curzon number.

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 383 ways as a sum of consecutive naturals, for example, 1295204185 + ... + 1295205065.

It is an arithmetic number, because the mean of its divisors is an integer number (6441988644).

Almost surely, 21141075274625 is an apocalyptic number.

1141075274625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1141075274625 is an abundant number, since it is smaller than the sum of its proper divisors (1332648364671).

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

1141075274625 is a wasteful number, since it uses less digits than its factorization.

1141075274625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1141075274625 in words is "one trillion, one hundred forty-one billion, seventy-five million, two hundred seventy-four thousand, six hundred twenty-five".