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144886830 = 23511676553
BaseRepresentation
bin10001010001011…
…00110000101110
3101002122000100220
420220230300232
5244042334310
622213232210
73406342404
oct1050546056
9332560326
10144886830
117486a690
1240632666
132402b76a
1415357474
15cabe670
hex8a2cc2e

144886830 has 64 divisors (see below), whose sum is σ = 385060608. Its totient is φ = 34594560.

The previous prime is 144886811. The next prime is 144886843. The reversal of 144886830 is 38688441.

It is a super-4 number, since 4×1448868304 (a number of 34 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18834 + ... + 25386.

It is an arithmetic number, because the mean of its divisors is an integer number (6016572).

Almost surely, 2144886830 is an apocalyptic number.

144886830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144886830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192530304).

144886830 is an abundant number, since it is smaller than the sum of its proper divisors (240173778).

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

144886830 is a wasteful number, since it uses less digits than its factorization.

144886830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641.

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 144886830 is about 12036.8945330596. The cubic root of 144886830 is about 525.2220738505. Note that the first 3 decimals are identical.

The spelling of 144886830 in words is "one hundred forty-four million, eight hundred eighty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 6553 7370 11055 13106 19659 22110 32765 39318 65530 72083 98295 144166 196590 216249 360415 432498 439051 720830 878102 1081245 1317153 2162490 2195255 2634306 4390510 4829561 6585765 9659122 13171530 14488683 24147805 28977366 48295610 72443415 144886830