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1143146601324 = 2234721319267229
BaseRepresentation
bin10000101000101000110…
…110001101101101101100
311001021122212000012210000
4100220220312031231230
5122212131012220244
62233053154544300
7145406144534100
oct20505066155554
94037585005700
101143146601324
114008955001a2
12165671598090
1383a4ba20cc0
143d48591d900
151eb08839169
hex10a28d8db6c

1143146601324 has 1080 divisors, whose sum is σ = 4027615709040. Its totient is φ = 280129715712.

The previous prime is 1143146601319. The next prime is 1143146601353. The reversal of 1143146601324 is 4231066413411.

1143146601324 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 46 + 601 + 3 + 2 + 4 = 666.

It is a super-2 number, since 2×11431466013242 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4991906442 + ... + 4991906670.

Almost surely, 21143146601324 is an apocalyptic number.

1143146601324 is a gapful number since it is divisible by the number (14) 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 1143146601324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013807854520).

1143146601324 is an abundant number, since it is smaller than the sum of its proper divisors (2884469107716).

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

1143146601324 is a wasteful number, since it uses less digits than its factorization.

1143146601324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1143146601324 in words is "one trillion, one hundred forty-three billion, one hundred forty-six million, six hundred one thousand, three hundred twenty-four".