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243124303140 = 22335292535351
BaseRepresentation
bin1110001001101101010…
…1100111010100100100
3212020112202021021012000
43202123111213110210
512440404310200030
6303404553325300
723364563323215
oct3423325472444
9766482237160
10243124303140
1194121370454
123b151a06830
1319c07758704
14baa55b140c
1564ce3a5860
hex389b567524

243124303140 has 144 divisors (see below), whose sum is σ = 783369874560. Its totient is φ = 62597404800.

The previous prime is 243124303139. The next prime is 243124303157. The reversal of 243124303140 is 41303421342.

243124303140 is a `hidden beast` number, since 2 + 4 + 312 + 4 + 30 + 314 + 0 = 666.

243124303140 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 2×2431243031402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 186465 + ... + 721815.

Almost surely, 2243124303140 is an apocalyptic number.

243124303140 is a gapful number since it is divisible by the number (20) 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 243124303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391684937280).

243124303140 is an abundant number, since it is smaller than the sum of its proper divisors (540245571420).

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

243124303140 is a wasteful number, since it uses less digits than its factorization.

243124303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535427 (or 535390 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 243124303140 its reverse (41303421342), we get a palindrome (284427724482).

The spelling of 243124303140 in words is "two hundred forty-three billion, one hundred twenty-four million, three hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 841 870 1044 1305 1566 1682 1740 2523 2610 3132 3364 3915 4205 5046 5220 7569 7830 8410 10092 12615 15138 15660 16820 22707 25230 30276 37845 45414 50460 75690 90828 113535 151380 227070 454140 535351 1070702 1606053 2141404 2676755 3212106 4818159 5353510 6424212 8030265 9636318 10707020 14454477 15525179 16060530 19272636 24090795 28908954 31050358 32121060 46575537 48181590 57817908 62100716 72272385 77625895 93151074 96363180 139726611 144544770 155251790 186302148 232877685 279453222 289089540 310503580 419179833 450230191 465755370 558906444 698633055 838359666 900460382 931510740 1350690573 1397266110 1676719332 1800920764 2095899165 2251150955 2701381146 2794532220 4052071719 4191798330 4502301910 5402762292 6753452865 8104143438 8383596660 9004603820 12156215157 13506905730 16208286876 20260358595 24312430314 27013811460 40520717190 48624860628 60781075785 81041434380 121562151570 243124303140