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234433143136 = 25315914292803
BaseRepresentation
bin1101101001010101001…
…1011110000101100000
3211102010001022121000001
43122111103132011200
512320104341040021
6255410323505344
722636320560263
oct3322523360540
9742101277001
10234433143136
1190471441295
1239527228254
1319150c7ca9a
14b4bd1d0cda
156171382091
hex36954de160

234433143136 has 96 divisors (see below), whose sum is σ = 485015731200. Its totient is φ = 111394967040.

The previous prime is 234433143097. The next prime is 234433143143. The reversal of 234433143136 is 631341334432.

It is a junction number, because it is equal to n+sod(n) for n = 234433143095 and 234433143104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83635111 + ... + 83637913.

It is an arithmetic number, because the mean of its divisors is an integer number (5052247200).

Almost surely, 2234433143136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234433143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242507865600).

234433143136 is an abundant number, since it is smaller than the sum of its proper divisors (250582588064).

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

234433143136 is a wasteful number, since it uses less digits than its factorization.

234433143136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4324 counting only the distinct ones).

The product of its digits is 186624, while the sum is 37.

Adding to 234433143136 its reverse (631341334432), we get a palindrome (865774477568).

The spelling of 234433143136 in words is "two hundred thirty-four billion, four hundred thirty-three million, one hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 59 62 118 124 236 248 472 496 944 992 1429 1829 1888 2803 2858 3658 5606 5716 7316 11212 11432 14632 22424 22864 29264 44299 44848 45728 58528 84311 86893 88598 89696 165377 168622 173786 177196 330754 337244 347572 354392 661508 674488 695144 708784 1323016 1348976 1390288 1417568 2613641 2646032 2697952 2780576 4005487 5126687 5227282 5292064 8010974 10253374 10454564 16021948 20506748 20909128 32043896 41013496 41818256 64087792 82026992 83636512 124170097 128175584 164053984 236323733 248340194 472647466 496680388 945294932 993360776 1890589864 1986721552 3781179728 3973443104 7326035723 7562359456 14652071446 29304142892 58608285784 117216571568 234433143136