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1140010340310 = 23252329131144967
BaseRepresentation
bin10000100101101101111…
…010010100111111010110
311000222120021120122110200
4100211231322110333112
5122134220121342220
62231414042001330
7145235343003012
oct20455572247726
94028507518420
101140010340310
113aa526131946
12164b371a6246
138366c03b25a
143d2691a7542
151e9c332b890
hex1096de94fd6

1140010340310 has 192 divisors, whose sum is σ = 3223995540480. Its totient is φ = 278613054720.

The previous prime is 1140010340309. The next prime is 1140010340401. The reversal of 1140010340310 is 130430100411.

1140010340310 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 10 + 340 + 310 = 666.

It is a super-2 number, since 2×11400103403102 (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 a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7791447 + ... + 7936413.

It is an arithmetic number, because the mean of its divisors is an integer number (16791643440).

Almost surely, 21140010340310 is an apocalyptic number.

1140010340310 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 1140010340310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611997770240).

1140010340310 is an abundant number, since it is smaller than the sum of its proper divisors (2083985200170).

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

1140010340310 is a wasteful number, since it uses less digits than its factorization.

1140010340310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145163 (or 145160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1140010340310 its reverse (130430100411), we get a palindrome (1270440440721).

The spelling of 1140010340310 in words is "one trillion, one hundred forty billion, ten million, three hundred forty thousand, three hundred ten".