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1144044132000 = 253537111796917
BaseRepresentation
bin10000101001011110010…
…110000001011010100000
311001100222101212111101220
4100221132112001122200
5122221000244211000
62233322220055040
7145440323446440
oct20513626013240
94040871774356
101144044132000
114012060a6290
12165882094480
1383b62961743
143d52cbd6120
151eb5c5291a0
hex10a5e5816a0

1144044132000 has 768 divisors, whose sum is σ = 4699475988480. Its totient is φ = 236361216000.

The previous prime is 1144044131983. The next prime is 1144044132001. The reversal of 1144044132000 is 2314404411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1144044132001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165392542 + ... + 165399458.

It is an arithmetic number, because the mean of its divisors is an integer number (6119109360).

Almost surely, 21144044132000 is an apocalyptic number.

1144044132000 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 1144044132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349737994240).

1144044132000 is an abundant number, since it is smaller than the sum of its proper divisors (3555431856480).

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

1144044132000 is a wasteful number, since it uses less digits than its factorization.

1144044132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1144044132000 its reverse (2314404411), we get a palindrome (1146358536411).

The spelling of 1144044132000 in words is "one trillion, one hundred forty-four billion, forty-four million, one hundred thirty-two thousand".