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243121240140 = 223517409582773
BaseRepresentation
bin1110001001101100100…
…1111011100001001100
3212020112112111122112120
43202123021323201030
512440403014141030
6303404403532540
723364525305202
oct3423311734114
9766475448476
10243121240140
119411a669149
123b15098a150
1319c06c2549c
14baa5015072
1564cde9d010
hex389b27b84c

243121240140 has 96 divisors (see below), whose sum is σ = 722546516160. Its totient is φ = 60869369856.

The previous prime is 243121240111. The next prime is 243121240163. The reversal of 243121240140 is 41042121342.

243121240140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 243121240140.

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, 125794 + ... + 708566.

It is an arithmetic number, because the mean of its divisors is an integer number (7526526210).

Almost surely, 2243121240140 is an apocalyptic number.

243121240140 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 243121240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361273258080).

243121240140 is an abundant number, since it is smaller than the sum of its proper divisors (479425276020).

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

243121240140 is a wasteful number, since it uses less digits than its factorization.

243121240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583211 (or 583209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 243121240140 its reverse (41042121342), we get a palindrome (284163361482).

The spelling of 243121240140 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 409 510 818 1020 1227 1636 2045 2454 4090 4908 6135 6953 8180 12270 13906 20859 24540 27812 34765 41718 69530 83436 104295 139060 208590 417180 582773 1165546 1748319 2331092 2913865 3496638 5827730 6993276 8741595 9907141 11655460 17483190 19814282 29721423 34966380 39628564 49535705 59442846 99071410 118885692 148607115 198142820 238354157 297214230 476708314 594428460 715062471 953416628 1191770785 1430124942 2383541570 2860249884 3575312355 4052020669 4767083140 7150624710 8104041338 12156062007 14301249420 16208082676 20260103345 24312124014 40520206690 48624248028 60780310035 81040413380 121560620070 243121240140