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1144386239472 = 2433717191116549
BaseRepresentation
bin10000101001110010101…
…111000011101111110000
311001101212020121100122000
4100221302233003233300
5122222200334130342
62233420200414000
7145451646352350
oct20516257035760
94041766540560
101144386239472
1140137121a733
12165958777300
1383bb87b33b8
143d56240ab60
151eb7c5a444c
hex10a72bc3bf0

1144386239472 has 320 divisors, whose sum is σ = 3995744256000. Its totient is φ = 306120314880.

The previous prime is 1144386239429. The next prime is 1144386239501. The reversal of 1144386239472 is 2749326834411.

1144386239472 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 3 + 8 + 623 + 9 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9760654 + ... + 9877202.

It is an arithmetic number, because the mean of its divisors is an integer number (12486700800).

Almost surely, 21144386239472 is an apocalyptic number.

1144386239472 is a gapful number since it is divisible by the number (12) 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 1144386239472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997872128000).

1144386239472 is an abundant number, since it is smaller than the sum of its proper divisors (2851358016528).

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

1144386239472 is a wasteful number, since it uses less digits than its factorization.

1144386239472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116781 (or 116769 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 1144386239472 in words is "one trillion, one hundred forty-four billion, three hundred eighty-six million, two hundred thirty-nine thousand, four hundred seventy-two".