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412342809630 = 235173674434973
BaseRepresentation
bin1100000000000011000…
…10111111010000011110
31110102022212202001202020
412000001202333100132
523223434224402010
6513232213241010
741535145023513
oct6000142772036
91412285661666
10412342809630
11149967847a14
1267ab8933166
132cb6480c2ab
1415d5953930a
15aad52d2470
hex60018bf41e

412342809630 has 128 divisors (see below), whose sum is σ = 1053274503168. Its totient is φ = 102954289152.

The previous prime is 412342809611. The next prime is 412342809649. The reversal of 412342809630 is 36908243214.

It is an interprime number because it is at equal distance from previous prime (412342809611) and next prime (412342809649).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82913824 + ... + 82918796.

It is an arithmetic number, because the mean of its divisors is an integer number (8228707056).

Almost surely, 2412342809630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412342809630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526637251584).

412342809630 is an abundant number, since it is smaller than the sum of its proper divisors (640931693538).

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

412342809630 is a wasteful number, since it uses less digits than its factorization.

412342809630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 412342809630 in words is "four hundred twelve billion, three hundred forty-two million, eight hundred nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 367 443 510 734 886 1101 1329 1835 2202 2215 2658 3670 4430 4973 5505 6239 6645 7531 9946 11010 12478 13290 14919 15062 18717 22593 24865 29838 31195 37434 37655 45186 49730 62390 74595 75310 84541 93585 112965 149190 162581 169082 187170 225930 253623 325162 422705 487743 507246 812905 845410 975486 1268115 1625810 1825091 2203039 2438715 2536230 2763877 3650182 4406078 4877430 5475273 5527754 6609117 8291631 9125455 10950546 11015195 13218234 13819385 16583262 18250910 22030390 27376365 27638770 31026547 33045585 37451663 41458155 54752730 62053094 66091170 74903326 82916310 93079641 112354989 155132735 186159282 187258315 224709978 310265470 374516630 465398205 561774945 808515313 930796410 1123549890 1617030626 2425545939 4042576565 4851091878 8085153130 12127729695 13744760321 24255459390 27489520642 41234280963 68723801605 82468561926 137447603210 206171404815 412342809630