Search a number
-
+
1232053505040 = 24358389611939
BaseRepresentation
bin10001111011011100000…
…111001000110000010000
311100210010221000212200210
4101323130013020300100
5130141221144130130
62341555250244120
7155004302000031
oct21733407106020
94323127025623
101232053505040
114355690a1926
1217a944286640
138c24a23ba37
14438bb598a88
15220adc455b0
hex11edc1c8c10

1232053505040 has 80 divisors (see below), whose sum is σ = 3819827390400. Its totient is φ = 328507900416.

The previous prime is 1232053505021. The next prime is 1232053505041. The reversal of 1232053505040 is 405053502321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1232053504989 and 1232053505007.

It is not an unprimeable number, because it can be changed into a prime (1232053505041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1707391 + ... + 2319329.

It is an arithmetic number, because the mean of its divisors is an integer number (47747842380).

Almost surely, 21232053505040 is an apocalyptic number.

1232053505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232053505040 is an abundant number, since it is smaller than the sum of its proper divisors (2587773885360).

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

1232053505040 is a wasteful number, since it uses less digits than its factorization.

1232053505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620344 (or 620338 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 1232053505040 in words is "one trillion, two hundred thirty-two billion, fifty-three million, five hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8389 16778 25167 33556 41945 50334 67112 83890 100668 125835 134224 167780 201336 251670 335560 402672 503340 611939 671120 1006680 1223878 1835817 2013360 2447756 3059695 3671634 4895512 6119390 7343268 9179085 9791024 12238780 14686536 18358170 24477560 29373072 36716340 48955120 73432680 146865360 5133556271 10267112542 15400668813 20534225084 25667781355 30801337626 41068450168 51335562710 61602675252 77003344065 82136900336 102671125420 123205350504 154006688130 205342250840 246410701008 308013376260 410684501680 616026752520 1232053505040