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234743494128 = 2431113239143093
BaseRepresentation
bin1101101010011111001…
…1010111010111110000
3211102220200022001112020
43122213303113113300
512321223313303003
6255501211431440
722650106530543
oct3324763272760
9742820261466
10234743494128
1190610645610
12395b3155580
13191a0363120
14b50c4da85a
15618d737d53
hex36a7cd75f0

234743494128 has 160 divisors (see below), whose sum is σ = 715424209920. Its totient is φ = 65387320320.

The previous prime is 234743494109. The next prime is 234743494199. The reversal of 234743494128 is 821494347432.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568950 + ... + 1712042.

It is an arithmetic number, because the mean of its divisors is an integer number (4471401312).

Almost surely, 2234743494128 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 234743494128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357712104960).

234743494128 is an abundant number, since it is smaller than the sum of its proper divisors (480680715792).

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

234743494128 is a wasteful number, since it uses less digits than its factorization.

234743494128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143367 (or 143361 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 234743494128 in words is "two hundred thirty-four billion, seven hundred forty-three million, four hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 239 264 286 312 429 478 528 572 624 717 858 956 1144 1434 1716 1912 2288 2629 2868 3107 3432 3824 5258 5736 6214 6864 7887 9321 10516 11472 12428 15774 18642 21032 24856 31548 34177 37284 42064 49712 63096 68354 74568 102531 126192 136708 143093 149136 205062 273416 286186 410124 429279 546832 572372 820248 858558 1144744 1574023 1640496 1717116 1860209 2289488 3148046 3434232 3720418 4722069 5580627 6296092 6868464 7440836 9444138 11161254 12592184 14881672 18888276 20462299 22322508 25184368 29763344 34199227 37776552 40924598 44645016 61386897 68398454 75553104 81849196 89290032 102597681 122773794 136796908 163698392 205195362 245547588 273593816 327396784 376191497 410390724 444589951 491095176 547187632 752382994 820781448 889179902 982190352 1128574491 1333769853 1504765988 1641562896 1778359804 2257148982 2667539706 3009531976 3556719608 4514297964 4890489461 5335079412 6019063952 7113439216 9028595928 9780978922 10670158824 14671468383 18057191856 19561957844 21340317648 29342936766 39123915688 58685873532 78247831376 117371747064 234743494128