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1141798931136 = 2632171075092141
BaseRepresentation
bin10000100111011000100…
…001010000101011000000
311001011011221010110211100
4100213120201100223000
5122201401011244021
62232311333414400
7145330561531353
oct20473041205300
94034157113740
101141798931136
11400263803686
1216535619a400
1383895765216
143d39895029a
151ea7a37e626
hex109d8850ac0

1141798931136 has 336 divisors, whose sum is σ = 3506170056480. Its totient is φ = 354001059840.

The previous prime is 1141798931131. The next prime is 1141798931137. The reversal of 1141798931136 is 6311398971411.

1141798931136 is a `hidden beast` number, since 1 + 1 + 417 + 9 + 8 + 93 + 1 + 136 = 666.

It is not an unprimeable number, because it can be changed into a prime (1141798931131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533300626 + ... + 533302766.

It is an arithmetic number, because the mean of its divisors is an integer number (10435029930).

Almost surely, 21141798931136 is an apocalyptic number.

1141798931136 is a gapful number since it is divisible by the number (16) 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 1141798931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753085028240).

1141798931136 is an abundant number, since it is smaller than the sum of its proper divisors (2364371125344).

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

1141798931136 is a wasteful number, since it uses less digits than its factorization.

1141798931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2779 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 1141798931136 in words is "one trillion, one hundred forty-one billion, seven hundred ninety-eight million, nine hundred thirty-one thousand, one hundred thirty-six".