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144023301240 = 233571313188947
BaseRepresentation
bin1000011000100001110…
…1010010110001111000
3111202202020020202111020
42012020131102301320
54324424431114430
6150055143102440
713256013601350
oct2061035226170
9452666222436
10144023301240
1156097442995
1223ab5141a20
1310773281610
146d83ac9b60
153b2e04ab10
hex2188752c78

144023301240 has 128 divisors (see below), whose sum is σ = 531778383360. Its totient is φ = 30387331584.

The previous prime is 144023301239. The next prime is 144023301259. The reversal of 144023301240 is 42103320441.

It is a super-2 number, since 2×1440233012402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144023301240.

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, 6583554 + ... + 6605393.

It is an arithmetic number, because the mean of its divisors is an integer number (4154518620).

Almost surely, 2144023301240 is an apocalyptic number.

144023301240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144023301240 is an abundant number, since it is smaller than the sum of its proper divisors (387755082120).

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

144023301240 is a wasteful number, since it uses less digits than its factorization.

144023301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188981 (or 13188977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144023301240 its reverse (42103320441), we get a palindrome (186126621681).

The spelling of 144023301240 in words is "one hundred forty-four billion, twenty-three million, three hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 13188947 26377894 39566841 52755788 65944735 79133682 92322629 105511576 131889470 158267364 171456311 184645258 197834205 263778940 276967887 316534728 342912622 369290516 395668410 461613145 514368933 527557880 553935774 685825244 738581032 791336820 857281555 923226290 1028737866 1107871548 1200194177 1371650488 1384839435 1582673640 1714563110 1846452580 2057475732 2215743096 2400388354 2571844665 2769678870 3429126220 3600582531 3692905160 4114951464 4800776708 5143689330 5539357740 6000970885 6858252440 7201165062 9601553416 10287378660 11078715480 12001941770 14402330124 18002912655 20574757320 24003883540 28804660248 36005825310 48007767080 72011650620 144023301240