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1142003504000 = 27534197131137
BaseRepresentation
bin10000100111100100101…
…101101001001110000000
311001011201012001212001002
4100213210231221032000
5122202310344112000
62232343522231132
7145335624422612
oct20474455511600
94034635055032
101142003504000
1140035922a267
121653b27b54a8
13838c8c60a58
143d3b7ba2db2
151ea8d2dd8d5
hex109e4b69380

1142003504000 has 512 divisors, whose sum is σ = 2982587287680. Its totient is φ = 434503680000.

The previous prime is 1142003503997. The next prime is 1142003504009. The reversal of 1142003504000 is 4053002411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142003504009) 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 63 ways as a sum of consecutive naturals, for example, 8335791932 + ... + 8335792068.

Almost surely, 21142003504000 is an apocalyptic number.

1142003504000 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 1142003504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491293643840).

1142003504000 is an abundant number, since it is smaller than the sum of its proper divisors (1840583783680).

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

1142003504000 is a wasteful number, since it uses less digits than its factorization.

1142003504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1142003504000 its reverse (4053002411), we get a palindrome (1146056506411).

The spelling of 1142003504000 in words is "one trillion, one hundred forty-two billion, three million, five hundred four thousand".