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1144303153344 = 26341321306139
BaseRepresentation
bin10000101001101101110…
…010000111000011000000
311001101122110021010220000
4100221231302013003000
5122222013101401334
62233404031520000
7145446620213631
oct20515562070300
94041573233800
101144303153344
1140132933090a
12165934989000
1383ba4512400
143d55537d888
151eb75141299
hex10a6dc870c0

1144303153344 has 210 divisors, whose sum is σ = 3673075968540. Its totient is φ = 352093008384.

The previous prime is 1144303153337. The next prime is 1144303153387. The reversal of 1144303153344 is 4433513034411.

1144303153344 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 3 + 0 + 315 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1144303153299 and 1144303153308.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 223027 + ... + 1529165.

Almost surely, 21144303153344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144303153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836537984270).

1144303153344 is an abundant number, since it is smaller than the sum of its proper divisors (2528772815196).

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

1144303153344 is a wasteful number, since it uses less digits than its factorization.

1144303153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306189 (or 1306157 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 1144303153344 its reverse (4433513034411), we get a palindrome (5577816187755).

The spelling of 1144303153344 in words is "one trillion, one hundred forty-four billion, three hundred three million, one hundred fifty-three thousand, three hundred forty-four".