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1144211240000 = 2654293147677
BaseRepresentation
bin10000101001101000010…
…011011111010001000000
311001101102001022110111002
4100221220103133101000
5122221321034140000
62233350545511132
7145444423031663
oct20515023372100
94041361273432
101144211240000
11401291462a74
1216590a0424a8
1383b8b47060a
143d5470956da
151eb6c0378d5
hex10a684df440

1144211240000 has 560 divisors, whose sum is σ = 3098824058880. Its totient is φ = 417930240000.

The previous prime is 1144211239999. The next prime is 1144211240023. The reversal of 1144211240000 is 421124411.

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

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, 1690119662 + ... + 1690120338.

Almost surely, 21144211240000 is an apocalyptic number.

1144211240000 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 1144211240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549412029440).

1144211240000 is an abundant number, since it is smaller than the sum of its proper divisors (1954612818880).

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

1144211240000 is an equidigital number, since it uses as much as digits as its factorization.

1144211240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1144211240000 its reverse (421124411), we get a palindrome (1144632364411).

The spelling of 1144211240000 in words is "one trillion, one hundred forty-four billion, two hundred eleven million, two hundred forty thousand".