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144098794224 = 243271147674127
BaseRepresentation
bin1000011000110011110…
…1010001101011110000
3111202221111022012101200
42012030331101223300
54330103242403344
6150110441131200
713260621353460
oct2061475215360
9452844265350
10144098794224
1156126015990
1223b16489b00
1310785ac4418
146d8db3bba0
153b359ae069
hex218cf51af0

144098794224 has 480 divisors, whose sum is σ = 521274064896. Its totient is φ = 36076423680.

The previous prime is 144098794219. The next prime is 144098794249. The reversal of 144098794224 is 422497890441.

144098794224 is a `hidden beast` number, since 1 + 4 + 409 + 8 + 7 + 9 + 4 + 224 = 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, 34914049 + ... + 34918175.

Almost surely, 2144098794224 is an apocalyptic number.

144098794224 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 144098794224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260637032448).

144098794224 is an abundant number, since it is smaller than the sum of its proper divisors (377175270672).

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

144098794224 is a wasteful number, since it uses less digits than its factorization.

144098794224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 144098794224 in words is "one hundred forty-four billion, ninety-eight million, seven hundred ninety-four thousand, two hundred twenty-four".