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2154044140416 = 27347175332941
BaseRepresentation
bin11111010110000111000…
…010010010101110000000
321121220222001001222120000
4133112013002102232000
5240242440244443131
64325315413320000
7311424136044120
oct37260702225600
97556861058500
102154044140416
11760585841543
122a9575036000
1312818291b50c
14763833a4c80
153b071b50ce6
hex1f587092b80

2154044140416 has 640 divisors, whose sum is σ = 7903723988160. Its totient is φ = 568292474880.

The previous prime is 2154044140361. The next prime is 2154044140447. The reversal of 2154044140416 is 6140414404512.

2154044140416 is a `hidden beast` number, since 21 + 5 + 40 + 44 + 140 + 416 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65374506 + ... + 65407446.

Almost surely, 22154044140416 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 2154044140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951861994080).

2154044140416 is an abundant number, since it is smaller than the sum of its proper divisors (5749679847744).

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

2154044140416 is a wasteful number, since it uses less digits than its factorization.

2154044140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33044 (or 33023 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 2154044140416 its reverse (6140414404512), we get a palindrome (8294458544928).

The spelling of 2154044140416 in words is "two trillion, one hundred fifty-four billion, forty-four million, one hundred forty thousand, four hundred sixteen".