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144061263440 = 2451994777147
BaseRepresentation
bin1000011000101010111…
…0000110111001010000
3111202211212200102211122
42012022232012321100
54330014140412230
6150103020501412
713256654351333
oct2061256067120
9452755612748
10144061263440
1156106911506
1223b059aa868
131077b0b3763
146d88b6c61a
153b32548be5
hex218ab86e50

144061263440 has 40 divisors (see below), whose sum is σ = 352570990560. Its totient is φ = 54591636096.

The previous prime is 144061263419. The next prime is 144061263449. The reversal of 144061263440 is 44362160441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 144061263440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144061263449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47387054 + ... + 47390093.

It is an arithmetic number, because the mean of its divisors is an integer number (8814274764).

Almost surely, 2144061263440 is an apocalyptic number.

144061263440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144061263440 is an abundant number, since it is smaller than the sum of its proper divisors (208509727120).

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

144061263440 is a wasteful number, since it uses less digits than its factorization.

144061263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94777179 (or 94777173 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 144061263440 in words is "one hundred forty-four billion, sixty-one million, two hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 94777147 189554294 379108588 473885735 758217176 947771470 1516434352 1800765793 1895542940 3601531586 3791085880 7203063172 7582171760 9003828965 14406126344 18007657930 28812252688 36015315860 72030631720 144061263440