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144443885040 = 24365713171601
BaseRepresentation
bin1000011010000110000…
…1101100010111110000
3111210211112122122000000
42012201201230113300
54331310113310130
6150205005430000
713302311523240
oct2064141542760
9453745578000
10144443885040
1156292897804
1223bb1b6b300
131080c44bc80
146dc38cbb20
153b55e28260
hex21a186c5f0

144443885040 has 1120 divisors, whose sum is σ = 656577726336. Its totient is φ = 28665446400.

The previous prime is 144443885039. The next prime is 144443885063. The reversal of 144443885040 is 40588344441.

144443885040 is a `hidden beast` number, since 1 + 44 + 443 + 88 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 90220240 + ... + 90221840.

Almost surely, 2144443885040 is an apocalyptic number.

144443885040 is a gapful number since it is divisible by the number (10) 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 144443885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328288863168).

144443885040 is an abundant number, since it is smaller than the sum of its proper divisors (512133841296).

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

144443885040 is a wasteful number, since it uses less digits than its factorization.

144443885040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 144443885040 in words is "one hundred forty-four billion, four hundred forty-three million, eight hundred eighty-five thousand, forty".