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144066105840 = 2435612353457
BaseRepresentation
bin1000011000101100000…
…0100101000111110000
3111202212012210110100210
42012023000211013300
54330021410341330
6150103312344120
713260043460166
oct2061300450760
9452765713323
10144066105840
1156109619698
1223b07545040
131077c0ba897
146d8966d236
153b32ba38b0
hex218b0251f0

144066105840 has 240 divisors, whose sum is σ = 456328944864. Its totient is φ = 37598330880.

The previous prime is 144066105829. The next prime is 144066105853. The reversal of 144066105840 is 48501660441.

It is a tau number, because it is divible by the number of its divisors (240).

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, 315242892 + ... + 315243348.

Almost surely, 2144066105840 is an apocalyptic number.

144066105840 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 144066105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228164472432).

144066105840 is an abundant number, since it is smaller than the sum of its proper divisors (312262839024).

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

144066105840 is a wasteful number, since it uses less digits than its factorization.

144066105840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 144066105840 in words is "one hundred forty-four billion, sixty-six million, one hundred five thousand, eight hundred forty".