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243424414400 = 2652178949427
BaseRepresentation
bin1110001010110100111…
…0011100101011000000
3212021022122222111102212
43202231032130223000
512442013122230100
6303454434001252
723405166245156
oct3425516345300
9767278874385
10243424414400
1194265810492
123b216416228
1319c5499503b
14bad33b33d6
1564ea8d7635
hex38ad39cac0

243424414400 has 84 divisors (see below), whose sum is σ = 634210164648. Its totient is φ = 91642122240.

The previous prime is 243424414397. The next prime is 243424414411. The reversal of 243424414400 is 4414424342.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4447514 + ... + 4501913.

Almost surely, 2243424414400 is an apocalyptic number.

243424414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243424414400 is an abundant number, since it is smaller than the sum of its proper divisors (390785750248).

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

243424414400 is a wasteful number, since it uses less digits than its factorization.

243424414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949466 (or 8949451 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 243424414400 its reverse (4414424342), we get a palindrome (247838838742).

The spelling of 243424414400 in words is "two hundred forty-three billion, four hundred twenty-four million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3400 5440 6800 13600 27200 8949427 17898854 35797708 44747135 71595416 89494270 143190832 152140259 178988540 223735675 286381664 304280518 357977080 447471350 572763328 608561036 715954160 760701295 894942700 1217122072 1431908320 1521402590 1789885400 2434244144 2863816640 3042805180 3579770800 3803506475 4868488288 6085610360 7159541600 7607012950 9736976576 12171220720 14319083200 15214025900 24342441440 30428051800 48684882880 60856103600 121712207200 243424414400