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11143401984 = 293411131879
BaseRepresentation
bin10100110000011001…
…01101001000000000
31001202121021110210000
422120030231020000
5140310202330414
65041425440000
7543100232301
oct123014551000
931677243700
1011143401984
1147a9183930
1221abaa0000
1310878562b0
14779d5c7a8
15453468b09
hex29832d200

11143401984 has 400 divisors, whose sum is σ = 39095622720. Its totient is φ = 3115376640.

The previous prime is 11143401853. The next prime is 11143402009. The reversal of 11143401984 is 48910434111.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5929557 + ... + 5931435.

Almost surely, 211143401984 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 11143401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547811360).

11143401984 is an abundant number, since it is smaller than the sum of its proper divisors (27952220736).

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

11143401984 is a wasteful number, since it uses less digits than its factorization.

11143401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11143401984 in words is "eleven billion, one hundred forty-three million, four hundred one thousand, nine hundred eighty-four".