Search a number
-
+
1140683319220 = 225591098868631
BaseRepresentation
bin10000100110010110000…
…001100010011110110100
311001001022011220111222111
4100212112001202132310
5122142104412203340
62232004522140404
7145261124143444
oct20462601423664
94031264814874
101140683319220
113aa840aa5965
121650a4651704
13837485a9523
143d2d070a124
151ea12462aea
hex109960627b4

1140683319220 has 48 divisors (see below), whose sum is σ = 2458384790400. Its totient is φ = 444424786560.

The previous prime is 1140683319157. The next prime is 1140683319221. The reversal of 1140683319220 is 229133860411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140683319221) 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, 4305696 + ... + 4562935.

It is an arithmetic number, because the mean of its divisors is an integer number (51216349800).

Almost surely, 21140683319220 is an apocalyptic number.

1140683319220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140683319220 is an abundant number, since it is smaller than the sum of its proper divisors (1317701471180).

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

1140683319220 is a wasteful number, since it uses less digits than its factorization.

1140683319220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868808 (or 8868806 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 1140683319220 in words is "one trillion, one hundred forty billion, six hundred eighty-three million, three hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 59 109 118 218 236 295 436 545 590 1090 1180 2180 6431 12862 25724 32155 64310 128620 8868631 17737262 35474524 44343155 88686310 177372620 523249229 966680779 1046498458 1933361558 2092996916 2616246145 3866723116 4833403895 5232492290 9666807790 10464984580 19333615580 57034165961 114068331922 228136663844 285170829805 570341659610 1140683319220