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144849040 = 2457258659
BaseRepresentation
bin10001010001000…
…11100010010000
3101002120002112021
420220203202100
5244040132130
622212341224
73406124260
oct1050434220
9332502467
10144849040
1174844256
1240614814
13240174bb
14153477a0
15cab337a
hex8a23890

144849040 has 40 divisors (see below), whose sum is σ = 384886080. Its totient is φ = 49662336.

The previous prime is 144849031. The next prime is 144849077. The reversal of 144849040 is 40948441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144848987 and 144849005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128770 + ... + 129889.

It is an arithmetic number, because the mean of its divisors is an integer number (9622152).

Almost surely, 2144849040 is an apocalyptic number.

144849040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144849040 is an abundant number, since it is smaller than the sum of its proper divisors (240037040).

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

144849040 is a wasteful number, since it uses less digits than its factorization.

144849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258679 (or 258673 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 144849040 is about 12035.3246736430. The cubic root of 144849040 is about 525.1764063272.

The spelling of 144849040 in words is "one hundred forty-four million, eight hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 258659 517318 1034636 1293295 1810613 2069272 2586590 3621226 4138544 5173180 7242452 9053065 10346360 14484904 18106130 20692720 28969808 36212260 72424520 144849040