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42051210630 = 235111317235689
BaseRepresentation
bin100111001010011100…
…101000110110000110
311000112121202211111120
4213022130220312012
51142110102220010
631152411214410
73016032251502
oct471234506606
9130477684446
1042051210630
11169198a2a40
128196a47406
133c7201a070
14206cb97302
151161b12e70
hex9ca728d86

42051210630 has 128 divisors (see below), whose sum is σ = 118656437760. Its totient is φ = 9402946560.

The previous prime is 42051210599. The next prime is 42051210631. The reversal of 42051210630 is 3601215024.

It is a self number, because there is not a number n which added to its sum of digits gives 42051210630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42051210631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7388826 + ... + 7394514.

It is an arithmetic number, because the mean of its divisors is an integer number (927003420).

Almost surely, 242051210630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42051210630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59328218880).

42051210630 is an abundant number, since it is smaller than the sum of its proper divisors (76605227130).

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

42051210630 is a wasteful number, since it uses less digits than its factorization.

42051210630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 42051210630 its reverse (3601215024), we get a palindrome (45652425654).

The spelling of 42051210630 in words is "forty-two billion, fifty-one million, two hundred ten thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 1723 2145 3446 4290 5169 5689 8615 10338 11378 17067 17230 18953 22399 25845 28445 34134 37906 44798 51690 56859 56890 62579 67197 73957 85335 94765 111995 113718 125158 134394 147914 170670 187737 189530 221871 223990 246389 284295 312895 335985 369785 375474 443742 492778 568590 625790 671970 739167 739570 813527 938685 1109355 1231945 1478334 1627054 1877370 2218710 2440581 2463890 3695835 4067635 4881162 7391670 8135270 9802147 12202905 19604294 24405810 29406441 49010735 58812882 98021470 107823617 127427911 147032205 215647234 254855822 294064410 323470851 382283733 539118085 637139555 646941702 764567466 1078236170 1274279110 1401707021 1617354255 1911418665 2803414042 3234708510 3822837330 4205121063 7008535105 8410242126 14017070210 21025605315 42051210630