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234141144312204 = 2232107461131853157
BaseRepresentation
bin110101001111001100111011…
…101110111110100110001100
31010201000200012220221110222100
4311033030323232332212030
5221142132030420442304
62145550542355115100
7100214065553620503
oct6517147356764614
91121020186843870
10234141144312204
1168671779a0a878
12223161575a2a90
13a085552182a4c
1441b66c58d383a
151c10836230439
hexd4f33bbbe98c

234141144312204 has 72 divisors (see below), whose sum is σ = 598684010612688. Its totient is φ = 77149918638720.

The previous prime is 234141144312191. The next prime is 234141144312217. The reversal of 234141144312204 is 402213441141432.

234141144312204 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 4 + 1 + 1 + 443 + 1 + 2 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (234141144312191) and next prime (234141144312217).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64150807 + ... + 67702350.

It is an arithmetic number, because the mean of its divisors is an integer number (8315055702954).

Almost surely, 2234141144312204 is an apocalyptic number.

It is an amenable number.

234141144312204 is an abundant number, since it is smaller than the sum of its proper divisors (364542866300484).

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

234141144312204 is a wasteful number, since it uses less digits than its factorization.

234141144312204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131853735 (or 131853730 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 234141144312204 its reverse (402213441141432), we get a palindrome (636354585453636).

The spelling of 234141144312204 in words is "two hundred thirty-four trillion, one hundred forty-one billion, one hundred forty-four million, three hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 461 642 922 963 1284 1383 1844 1926 2766 3852 4149 5532 8298 16596 49327 98654 147981 197308 295962 443943 591924 887886 1775772 131853157 263706314 395559471 527412628 791118942 1186678413 1582237884 2373356826 4746713652 14108287799 28216575598 42324863397 56433151196 60784305377 84649726794 121568610754 126974590191 169299453588 182352916131 243137221508 253949180382 364705832262 507898360764 547058748393 729411664524 1094117496786 2188234993572 6503920675339 13007841350678 19511762026017 26015682701356 39023524052034 58535286078051 78047048104068 117070572156102 234141144312204