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144872223834 = 231319412384257
BaseRepresentation
bin1000011011101100001…
…1101011010001011010
3111211221101122111100210
42012323003223101122
54333144242130314
6150315310311550
713316032404342
oct2067303532132
9454841574323
10144872223834
1156492659008
12240b14b85b6
131087a103390
14702474bd22
153b7d838559
hex21bb0eb45a

144872223834 has 64 divisors (see below), whose sum is σ = 336466488960. Its totient is φ = 41199943680.

The previous prime is 144872223791. The next prime is 144872223869. The reversal of 144872223834 is 438322278441.

144872223834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1448722238342 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131367 + ... + 1252890.

It is an arithmetic number, because the mean of its divisors is an integer number (5257288890).

Almost surely, 2144872223834 is an apocalyptic number.

144872223834 is an abundant number, since it is smaller than the sum of its proper divisors (191594265126).

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

144872223834 is a wasteful number, since it uses less digits than its factorization.

144872223834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384335.

The product of its digits is 2064384, while the sum is 48.

The spelling of 144872223834 in words is "one hundred forty-four billion, eight hundred seventy-two million, two hundred twenty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 41 57 78 82 114 123 246 247 494 533 741 779 1066 1482 1558 1599 2337 3198 4674 10127 20254 30381 60762 2384257 4768514 7152771 14305542 30995341 45300883 61990682 90601766 92986023 97754537 135902649 185972046 195509074 271805298 293263611 586527222 588911479 1177822958 1270808981 1766734437 1857336203 2541617962 3533468874 3714672406 3812426943 5572008609 7624853886 11144017218 24145370639 48290741278 72436111917 144872223834