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40300144200 = 233252166313463
BaseRepresentation
bin100101100010000100…
…110110011001001000
310212000120211102221100
4211202010312121020
51130013314103300
630302535541400
72624450400531
oct454204663110
9125016742840
1040300144200
11161004208a8
12798852a860
133a53300b94
141d443bb688
1510ad023700
hex962136648

40300144200 has 144 divisors (see below), whose sum is σ = 135432760320. Its totient is φ = 10739445120.

The previous prime is 40300144177. The next prime is 40300144207. The reversal of 40300144200 is 244100304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40300144207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2986669 + ... + 3000131.

It is an arithmetic number, because the mean of its divisors is an integer number (940505280).

Almost surely, 240300144200 is an apocalyptic number.

40300144200 is a gapful number since it is divisible by the number (40) 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 40300144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716380160).

40300144200 is an abundant number, since it is smaller than the sum of its proper divisors (95132616120).

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

40300144200 is a wasteful number, since it uses less digits than its factorization.

40300144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15148 (or 15136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40300144200 its reverse (244100304), we get a palindrome (40544244504).

The spelling of 40300144200 in words is "forty billion, three hundred million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1663 1800 3326 4989 6652 8315 9978 13304 13463 14967 16630 19956 24945 26926 29934 33260 39912 40389 41575 49890 53852 59868 66520 67315 74835 80778 83150 99780 107704 119736 121167 124725 134630 149670 161556 166300 199560 201945 242334 249450 269260 299340 323112 332600 336575 374175 403890 484668 498900 538520 598680 605835 673150 748350 807780 969336 997800 1009725 1211670 1346300 1496700 1615560 2019450 2423340 2692600 2993400 3029175 4038900 4846680 6058350 8077800 12116700 22388969 24233400 44777938 67166907 89555876 111944845 134333814 179111752 201500721 223889690 268667628 335834535 403001442 447779380 537335256 559724225 671669070 806002884 895558760 1007503605 1119448450 1343338140 1612005768 1679172675 2015007210 2238896900 2686676280 3358345350 4030014420 4477793800 5037518025 6716690700 8060028840 10075036050 13433381400 20150072100 40300144200