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42856128390 = 23523181409839
BaseRepresentation
bin100111111010011011…
…001001111110000110
311002121201100220002110
4213322123021332012
51200232132102030
631404323321450
73045005036505
oct477233117606
9132551326073
1042856128390
11171a2192629
128380520286
13406ca0246a
142107a4283c
1511ac60c1b0
hex9fa6c9f86

42856128390 has 128 divisors (see below), whose sum is σ = 108312422400. Its totient is φ = 10831518720.

The previous prime is 42856128353. The next prime is 42856128391. The reversal of 42856128390 is 9382165824.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42856128391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51079591 + ... + 51080429.

It is an arithmetic number, because the mean of its divisors is an integer number (846190800).

Almost surely, 242856128390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42856128390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54156211200).

42856128390 is an abundant number, since it is smaller than the sum of its proper divisors (65456294010).

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

42856128390 is a wasteful number, since it uses less digits than its factorization.

42856128390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 42856128390 in words is "forty-two billion, eight hundred fifty-six million, one hundred twenty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 181 230 345 362 409 543 690 818 839 905 1086 1227 1678 1810 2045 2454 2517 2715 4090 4163 4195 5034 5430 6135 8326 8390 9407 12270 12489 12585 18814 19297 20815 24978 25170 28221 38594 41630 47035 56442 57891 62445 74029 94070 96485 115782 124890 141105 148058 151859 192970 222087 282210 289455 303718 343151 370145 444174 455577 578910 686302 740290 759295 911154 1029453 1110435 1518590 1702667 1715755 2058906 2220870 2277885 3405334 3431510 3492757 4555770 5108001 5147265 6985514 7892473 8513335 10216002 10294530 10478271 15784946 17026670 17463785 20956542 23677419 25540005 34927570 39462365 47354838 51080010 52391355 62110331 78924730 104782710 118387095 124220662 186330993 236774190 310551655 372661986 621103310 931654965 1428537613 1863309930 2857075226 4285612839 7142688065 8571225678 14285376130 21428064195 42856128390