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1141144114140 = 223452236135153
BaseRepresentation
bin10000100110110001011…
…111010101001111011100
311001002111021222022210000
4100212301133111033130
5122144030343123030
62232122342414300
7145305420633042
oct20466137251734
94032437868700
101141144114140
113aaa58114a08
121651b2a31390
13837bcbb5844
143d3359b8392
151ea3cb34860
hex109b17d53dc

1141144114140 has 240 divisors, whose sum is σ = 3602429284608. Its totient is φ = 302387613696.

The previous prime is 1141144114133. The next prime is 1141144114153. The reversal of 1141144114140 is 414114411411.

1141144114140 is a `hidden beast` number, since 1 + 1 + 41 + 1 + 441 + 141 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 221449804 + ... + 221454956.

Almost surely, 21141144114140 is an apocalyptic number.

1141144114140 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 1141144114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801214642304).

1141144114140 is an abundant number, since it is smaller than the sum of its proper divisors (2461285170468).

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

1141144114140 is a wasteful number, since it uses less digits than its factorization.

1141144114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 1141144114140 its reverse (414114411411), we get a palindrome (1555258525551).

The spelling of 1141144114140 in words is "one trillion, one hundred forty-one billion, one hundred forty-four million, one hundred fourteen thousand, one hundred forty".