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144088280 = 23573471483
BaseRepresentation
bin10001001011010…
…01110011011000
3101001010102221222
420211221303120
5243341311110
622144151212
73366505310
oct1045516330
9331112858
10144088280
1174374726
1240308508
1323b0c14b
14151ca440
15c9b2c55
hex8969cd8

144088280 has 64 divisors (see below), whose sum is σ = 371831040. Its totient is φ = 49226112.

The previous prime is 144088247. The next prime is 144088289. The reversal of 144088280 is 82880441.

144088280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440882802 = 41522864866716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144088280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144088289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96419 + ... + 97901.

It is an arithmetic number, because the mean of its divisors is an integer number (5809860).

Almost surely, 2144088280 is an apocalyptic number.

144088280 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 144088280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185915520).

144088280 is an abundant number, since it is smaller than the sum of its proper divisors (227742760).

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

144088280 is a wasteful number, since it uses less digits than its factorization.

144088280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 144088280 is about 12003.6777697504. The cubic root of 144088280 is about 524.2553676324.

The spelling of 144088280 in words is "one hundred forty-four million, eighty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 347 694 1388 1483 1735 2429 2776 2966 3470 4858 5932 6940 7415 9716 10381 11864 12145 13880 14830 19432 20762 24290 29660 41524 48580 51905 59320 83048 97160 103810 207620 415240 514601 1029202 2058404 2573005 3602207 4116808 5146010 7204414 10292020 14408828 18011035 20584040 28817656 36022070 72044140 144088280