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144106470 = 23255330211
BaseRepresentation
bin10001001011011…
…10001111100110
3101001011100220200
420211232033212
5243342401340
622144411330
73366612324
oct1045561746
9331140820
10144106470
1174387362
1240316b46
1323b17501
14151d2d14
15c9b8330
hex896e3e6

144106470 has 48 divisors (see below), whose sum is σ = 381758832. Its totient is φ = 37702080.

The previous prime is 144106463. The next prime is 144106489. The reversal of 144106470 is 74601441.

144106470 is a `hidden beast` number, since 1 + 4 + 4 + 10 + 647 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10336 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (7953309).

Almost surely, 2144106470 is an apocalyptic number.

144106470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144106470 is an abundant number, since it is smaller than the sum of its proper divisors (237652362).

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

144106470 is a wasteful number, since it uses less digits than its factorization.

144106470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30277 (or 30274 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144106470 is about 12004.4354302899. The cubic root of 144106470 is about 524.2774277284.

The spelling of 144106470 in words is "one hundred forty-four million, one hundred six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 30211 60422 90633 151055 181266 271899 302110 453165 543798 906330 1359495 1601183 2718990 3202366 4803549 8005915 9607098 14410647 16011830 24017745 28821294 48035490 72053235 144106470