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144196416 = 26337213131
BaseRepresentation
bin10001001100001…
…00001101000000
3101001022221022000
420212010031000
5243403241131
622150344000
73400435500
oct1046041500
9331287260
10144196416
11744389a1
124035b000
1323b49430
1415217a00
15c9d4ce6
hex8984340

144196416 has 336 divisors, whose sum is σ = 535106880. Its totient is φ = 37739520.

The previous prime is 144196391. The next prime is 144196421. The reversal of 144196416 is 614691441.

144196416 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 9 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100671 + ... + 1100801.

It is an arithmetic number, because the mean of its divisors is an integer number (1592580).

Almost surely, 2144196416 is an apocalyptic number.

144196416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144196416 is the 6419-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267553440).

144196416 is an abundant number, since it is smaller than the sum of its proper divisors (390910464).

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

144196416 is a wasteful number, since it uses less digits than its factorization.

144196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 144196416 is about 12008.1812111577. The cubic root of 144196416 is about 524.3864833217.

The spelling of 144196416 in words is "one hundred forty-four million, one hundred ninety-six thousand, four hundred sixteen".