Search a number
-
+
1140022120410 = 2325173183289589
BaseRepresentation
bin10000100101101110100…
…111010000111111011010
311000222121002202010201200
4100211232213100333122
5122134231130323120
62231415142255030
7145235545065225
oct20455647207732
94028532663650
101140022120410
113aa531848468
12164b3b127476
1383671604124
143d26a9925bc
151e9c43a6e90
hex1096e9d0fda

1140022120410 has 192 divisors, whose sum is σ = 3278696279040. Its totient is φ = 273556408320.

The previous prime is 1140022120399. The next prime is 1140022120451. The reversal of 1140022120410 is 140212200411.

1140022120410 is a `hidden beast` number, since 1 + 1 + 40 + 0 + 2 + 212 + 0 + 410 = 666.

It is a super-2 number, since 2×11400221204102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3791896 + ... + 4081484.

It is an arithmetic number, because the mean of its divisors is an integer number (17076543120).

Almost surely, 21140022120410 is an apocalyptic number.

1140022120410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140022120410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639348139520).

1140022120410 is an abundant number, since it is smaller than the sum of its proper divisors (2138674158630).

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

1140022120410 is a wasteful number, since it uses less digits than its factorization.

1140022120410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289733 (or 289730 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1140022120410 its reverse (140212200411), we get a palindrome (1280234320821).

The spelling of 1140022120410 in words is "one trillion, one hundred forty billion, twenty-two million, one hundred twenty thousand, four hundred ten".