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5455458402240 = 2635721173144427
BaseRepresentation
bin100111101100011001010…
…1010001111111111000000
3201022112111021110020020210
41033120302222033333000
51203340234322332430
615334111502434120
71102100226206100
oct117306252177700
921275437406223
105455458402240
111813713054340
12741379b92940
133075a8280122
1414c08d185200
1596d97cb42b0
hex4f632a8ffc0

5455458402240 has 672 divisors, whose sum is σ = 22282000591104. Its totient is φ = 1118065213440.

The previous prime is 5455458402211. The next prime is 5455458402257. The reversal of 5455458402240 is 422048545545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5455458402240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37700907 + ... + 37845333.

Almost surely, 25455458402240 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 5455458402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11141000295552).

5455458402240 is an abundant number, since it is smaller than the sum of its proper divisors (16826542188864).

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

5455458402240 is a wasteful number, since it uses less digits than its factorization.

5455458402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144545 (or 144528 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 48.

The spelling of 5455458402240 in words is "five trillion, four hundred fifty-five billion, four hundred fifty-eight million, four hundred two thousand, two hundred forty".