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144040545726 = 237311171919699
BaseRepresentation
bin1000011000100101111…
…1000100110110111110
3111202210102200212110220
42012021133010312332
54324443334430401
6150101000442210
713256313303000
oct2061137046676
9452712625426
10144040545726
11560a6150a30
1223abaa79366
1310776a0b75c
146d860d8370
153b30805336
hex21897c4dbe

144040545726 has 256 divisors, whose sum is σ = 408499200000. Its totient is φ = 33357381120.

The previous prime is 144040545721. The next prime is 144040545739. The reversal of 144040545726 is 627545040441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040545721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7302225 + ... + 7321923.

It is an arithmetic number, because the mean of its divisors is an integer number (1595700000).

Almost surely, 2144040545726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144040545726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204249600000).

144040545726 is an abundant number, since it is smaller than the sum of its proper divisors (264458654274).

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

144040545726 is a wasteful number, since it uses less digits than its factorization.

144040545726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19772 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 144040545726 in words is "one hundred forty-four billion, forty million, five hundred forty-five thousand, seven hundred twenty-six".