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243432060234342 = 237291811104210599
BaseRepresentation
bin110111010110011001110001…
…011110100010101001100110
31011220220212200211101100220120
4313112121301132202221212
5223401342324404444332
62221423051123342410
7102163246246131420
oct6726316136425146
91156825624340816
10243432060234342
1170623a58818031
1223376920521a06
13a5aa710b63825
14441826309b810
151d2235e83232c
hexdd66717a2a66

243432060234342 has 64 divisors (see below), whose sum is σ = 578783028096000. Its totient is φ = 66782656967040.

The previous prime is 243432060234331. The next prime is 243432060234343.

243432060234342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 243432060234294 and 243432060234303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243432060234343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551884842 + ... + 552325757.

It is an arithmetic number, because the mean of its divisors is an integer number (9043484814000).

Almost surely, 2243432060234342 is an apocalyptic number.

243432060234342 is an abundant number, since it is smaller than the sum of its proper divisors (335350967861658).

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

243432060234342 is a wasteful number, since it uses less digits than its factorization.

243432060234342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104210821.

The product of its (nonzero) digits is 1990656, while the sum is 42.

The spelling of 243432060234342 in words is "two hundred forty-three trillion, four hundred thirty-two billion, sixty million, two hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 181 203 362 406 543 609 1086 1218 1267 2534 3801 5249 7602 10498 15747 31494 36743 73486 110229 220458 1104210599 2208421198 3312631797 6625263594 7729474193 15458948386 23188422579 32022107371 46376845158 64044214742 96066322113 192132644226 199862118419 224154751597 399724236838 448309503194 599586355257 672464254791 1199172710514 1344928509582 1399034828933 2798069657866 4197104486799 5796001434151 8394208973598 11592002868302 17388004302453 34776008604906 40572010039057 81144020078114 121716030117171 243432060234342