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1143011042040 = 233572763925447
BaseRepresentation
bin10000101000100000110…
…001000110001011111000
311001021022101221002101210
4100220200301012023320
5122211341311321130
62233031513243120
7145402610360400
oct20504061061370
94037271832353
101143011042040
11400825a3152a
121656341034a0
1383a29909cca
143d471913800
151eaeb9ad5b0
hex10a20c462f8

1143011042040 has 192 divisors, whose sum is σ = 3989554214400. Its totient is φ = 261215200512.

The previous prime is 1143011042023. The next prime is 1143011042051. The reversal of 1143011042040 is 402401103411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1143011041998 and 1143011042016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44904597 + ... + 44930043.

It is an arithmetic number, because the mean of its divisors is an integer number (20778928200).

Almost surely, 21143011042040 is an apocalyptic number.

1143011042040 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 1143011042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994777107200).

1143011042040 is an abundant number, since it is smaller than the sum of its proper divisors (2846543172360).

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

1143011042040 is a wasteful number, since it uses less digits than its factorization.

1143011042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33114 (or 33103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1143011042040 its reverse (402401103411), we get a palindrome (1545412145451).

The spelling of 1143011042040 in words is "one trillion, one hundred forty-three billion, eleven million, forty-two thousand, forty".