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144556666320 = 243511454912037
BaseRepresentation
bin1000011010100000111…
…1111010110111010000
3111211010101212111211110
42012220033322313100
54332023001310240
6150224115013320
713305151250523
oct2065017726720
9454111774743
10144556666320
1156340518a80
122402389a240
1310829919261
146dd4888bba
153b60ca4c80
hex21a83fadd0

144556666320 has 160 divisors (see below), whose sum is σ = 489012451200. Its totient is φ = 35033425920.

The previous prime is 144556666283. The next prime is 144556666337. The reversal of 144556666320 is 23666655441.

144556666320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 144556666320.

It is a congruent number.

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, 12003342 + ... + 12015378.

It is an arithmetic number, because the mean of its divisors is an integer number (3056327820).

Almost surely, 2144556666320 is an apocalyptic number.

144556666320 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 144556666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244506225600).

144556666320 is an abundant number, since it is smaller than the sum of its proper divisors (344455784880).

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

144556666320 is a wasteful number, since it uses less digits than its factorization.

144556666320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16607 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 144556666320 in words is "one hundred forty-four billion, five hundred fifty-six million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4549 9098 12037 13647 18196 22745 24074 27294 36111 36392 45490 48148 50039 54588 60185 68235 72222 72784 90980 96296 100078 109176 120370 132407 136470 144444 150117 180555 181960 192592 200156 218352 240740 250195 264814 272940 288888 300234 361110 363920 397221 400312 481480 500390 529628 545880 577776 600468 662035 722220 750585 794442 800624 962960 1000780 1059256 1091760 1200936 1324070 1444440 1501170 1588884 1986105 2001560 2118512 2401872 2648140 2888880 3002340 3177768 3972210 4003120 5296280 6004680 6355536 7944420 10592560 12009360 15888840 31777680 54756313 109512626 164268939 219025252 273781565 328537878 438050504 547563130 602319443 657075756 821344695 876101008 1095126260 1204638886 1314151512 1642689390 1806958329 2190252520 2409277772 2628303024 3011597215 3285378780 3613916658 4380505040 4818555544 6023194430 6570757560 7227833316 9034791645 9637111088 12046388860 13141515120 14455666632 18069583290 24092777720 28911333264 36139166580 48185555440 72278333160 144556666320