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1144202031000 = 23345376473119
BaseRepresentation
bin10000101001100111110…
…000010110111110011000
311001101101101222121010000
4100221213300112332120
5122221311204443000
62233350020253000
7145444251535410
oct20514760267630
94041341877100
101144202031000
11401287243126
12165906b41160
1383b89597ac2
143d545b79640
151eb6b319000
hex10a67c16f98

1144202031000 has 640 divisors, whose sum is σ = 4579529011200. Its totient is φ = 261043948800.

The previous prime is 1144202030977. The next prime is 1144202031001. The reversal of 1144202031000 is 1302024411.

1144202031000 is a `hidden beast` number, since 11 + 442 + 0 + 203 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×11442020310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144202031001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 366847441 + ... + 366850559.

It is an arithmetic number, because the mean of its divisors is an integer number (7155514080).

Almost surely, 21144202031000 is an apocalyptic number.

1144202031000 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 1144202031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289764505600).

1144202031000 is an abundant number, since it is smaller than the sum of its proper divisors (3435326980200).

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

1144202031000 is a wasteful number, since it uses less digits than its factorization.

1144202031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1144202031000 its reverse (1302024411), we get a palindrome (1145504055411).

The spelling of 1144202031000 in words is "one trillion, one hundred forty-four billion, two hundred two million, thirty-one thousand".