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1114010311440 = 2435131725323311
BaseRepresentation
bin10000001101100000001…
…100000101101100010000
310221111110021221022221110
4100031200030011230100
5121222443114431230
62211434055053320
7143325133260405
oct20154014055420
93844407838843
101114010311440
1139a4a3862384
1215ba9b971240
13810875876a0
143bcc00a62ac
151dea096e4b0
hex10360305b10

1114010311440 has 480 divisors, whose sum is σ = 4025433355776. Its totient is φ = 253207019520.

The previous prime is 1114010311433. The next prime is 1114010311471. The reversal of 1114010311440 is 441130104111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47777385 + ... + 47800695.

Almost surely, 21114010311440 is an apocalyptic number.

1114010311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114010311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012716677888).

1114010311440 is an abundant number, since it is smaller than the sum of its proper divisors (2911423044336).

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

1114010311440 is a wasteful number, since it uses less digits than its factorization.

1114010311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23427 (or 23404 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1114010311440 its reverse (441130104111), we get a palindrome (1555140415551).

The spelling of 1114010311440 in words is "one trillion, one hundred fourteen billion, ten million, three hundred eleven thousand, four hundred forty".