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2114249889024 = 283271341475233
BaseRepresentation
bin11110110001000011000…
…111010001010100000000
321111010020201011120002100
4132301003013101110000
5234114440432422044
64255134544350400
7305515040352360
oct36610307212400
97433221146070
102114249889024
11745714a42479
122a190a015400
131244b03869c0
147448a2749a0
1539ee325b869
hex1ec431d1500

2114249889024 has 864 divisors, whose sum is σ = 7850666363904. Its totient is φ = 532327956480.

The previous prime is 2114249889019. The next prime is 2114249889049. The reversal of 2114249889024 is 4209889424112.

2114249889024 is a `hidden beast` number, since 2 + 1 + 1 + 42 + 498 + 8 + 90 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404019912 + ... + 404025144.

Almost surely, 22114249889024 is an apocalyptic number.

2114249889024 is a gapful number since it is divisible by the number (24) 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 2114249889024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925333181952).

2114249889024 is an abundant number, since it is smaller than the sum of its proper divisors (5736416474880).

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

2114249889024 is a wasteful number, since it uses less digits than its factorization.

2114249889024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2114249889024 in words is "two trillion, one hundred fourteen billion, two hundred forty-nine million, eight hundred eighty-nine thousand, twenty-four".