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1014011133140 = 225237721329641
BaseRepresentation
bin11101100000101111100…
…01011111110011010100
310120221100011211201212002
432300113301133303110
5113103143322230030
62053455201414432
7133155066263465
oct16602761376324
93527304751762
101014011133140
11361048938675
1214463233a418
137480bca4c75
14371151bad6c
151b59b848245
hexec17c5fcd4

1014011133140 has 24 divisors (see below), whose sum is σ = 2130319324392. Its totient is φ = 405433797120.

The previous prime is 1014011133059. The next prime is 1014011133181. The reversal of 1014011133140 is 413311104101.

It can be written as a sum of positive squares in 4 ways, for example, as 248995012036 + 765016121104 = 498994^2 + 874652^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 10617281 + ... + 10712360.

It is an arithmetic number, because the mean of its divisors is an integer number (88763305183).

Almost surely, 21014011133140 is an apocalyptic number.

1014011133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014011133140 is an abundant number, since it is smaller than the sum of its proper divisors (1116308191252).

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

1014011133140 is a wasteful number, since it uses less digits than its factorization.

1014011133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21332027 (or 21332025 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1014011133140 its reverse (413311104101), we get a palindrome (1427322237241).

The spelling of 1014011133140 in words is "one trillion, fourteen billion, eleven million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2377 4754 9508 11885 23770 47540 21329641 42659282 85318564 106648205 213296410 426592820 50700556657 101401113314 202802226628 253502783285 507005566570 1014011133140