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144089072736 = 253717107117877
BaseRepresentation
bin1000011000110001100…
…0001100010001100000
3111202220211000022000120
42012030120030101200
54330043300311421
6150105452520240
713260442624110
oct2061430142140
9452824008016
10144089072736
1156120585aa4
1223b13180080
1310783a9c56b
146d8c72b040
153b34bdd8c6
hex218c60c460

144089072736 has 192 divisors, whose sum is σ = 461976141312. Its totient is φ = 38384197632.

The previous prime is 144089072723. The next prime is 144089072779. The reversal of 144089072736 is 637270980441.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163430 + ... + 1281306.

It is an arithmetic number, because the mean of its divisors is an integer number (2406125736).

Almost surely, 2144089072736 is an apocalyptic number.

144089072736 is a gapful number since it is divisible by the number (16) 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 144089072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230988070656).

144089072736 is an abundant number, since it is smaller than the sum of its proper divisors (317887068576).

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

144089072736 is a wasteful number, since it uses less digits than its factorization.

144089072736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118021 (or 118013 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 144089072736 in words is "one hundred forty-four billion, eighty-nine million, seventy-two thousand, seven hundred thirty-six".