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243140424300 = 223352175297177
BaseRepresentation
bin1110001001110001001…
…1000111001001101100
3212020120212121022021000
43202130103013021230
512440422422034200
6303410331040300
723365150335534
oct3423423071154
9766525538230
10243140424300
119412a481524
123b1572a0090
1319c0abb1467
14baa77aa4c4
1564d09dc300
hex389c4c726c

243140424300 has 144 divisors (see below), whose sum is σ = 827631090720. Its totient is φ = 61023467520.

The previous prime is 243140424277. The next prime is 243140424301. The reversal of 243140424300 is 3424041342.

It is a happy number.

243140424300 is a `hidden beast` number, since 2 + 4 + 314 + 0 + 42 + 4 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (243140424301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2602689 + ... + 2694488.

It is an arithmetic number, because the mean of its divisors is an integer number (5747438130).

Almost surely, 2243140424300 is an apocalyptic number.

243140424300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243140424300 is an abundant number, since it is smaller than the sum of its proper divisors (584490666420).

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

243140424300 is a wasteful number, since it uses less digits than its factorization.

243140424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297217 (or 5297204 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 243140424300 its reverse (3424041342), we get a palindrome (246564465642).

The spelling of 243140424300 in words is "two hundred forty-three billion, one hundred forty million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 5297177 10594354 15891531 21188708 26485885 31783062 47674593 52971770 63566124 79457655 90052009 95349186 105943540 132429425 143023779 158915310 180104018 190698372 238372965 264858850 270156027 286047558 317830620 360208036 397288275 450260045 476745930 529717700 540312054 572095116 715118895 794576550 810468081 900520090 953491860 1080624108 1191864825 1350780135 1430237790 1589153100 1620936162 1801040180 2251300225 2383729650 2431404243 2701560270 2860475580 3241872324 3575594475 4052340405 4502600450 4767459300 4862808486 5403120540 6753900675 7151188950 8104680810 9005200900 9725616972 12157021215 13507801350 14302377900 16209361620 20261702025 24314042430 27015602700 40523404050 48628084860 60785106075 81046808100 121570212150 243140424300