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412142423010 = 235293894432749
BaseRepresentation
bin1011111111101011001…
…10100100101111100010
31110101210220200100222120
411333311212210233202
523223031430014020
6513200254245110
741530162536123
oct5776546445742
91411726610876
10412142423010
1114987472053a
1267a617b6796
132cb3214b026
1415d3aa9604a
15aac28ed740
hex5ff59a4be2

412142423010 has 128 divisors (see below), whose sum is σ = 1028570400000. Its totient is φ = 105564705792.

The previous prime is 412142422961. The next prime is 412142423027. The reversal of 412142423010 is 10324241214.

It is a super-2 number, since 2×4121424230102 (a number of 24 digits) contains 22 as substring.

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, 149923116 + ... + 149925864.

It is an arithmetic number, because the mean of its divisors is an integer number (8035706250).

Almost surely, 2412142423010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412142423010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514285200000).

412142423010 is an abundant number, since it is smaller than the sum of its proper divisors (616427976990).

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

412142423010 is a wasteful number, since it uses less digits than its factorization.

412142423010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412142423010 its reverse (10324241214), we get a palindrome (422466664224).

The spelling of 412142423010 in words is "four hundred twelve billion, one hundred forty-two million, four hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 389 435 443 778 870 886 1167 1329 1945 2215 2334 2658 2749 3890 4430 5498 5835 6645 8247 11281 11670 12847 13290 13745 16494 22562 25694 27490 33843 38541 41235 56405 64235 67686 77082 79721 82470 112810 128470 159442 169215 172327 192705 239163 338430 344654 385410 398605 478326 516981 797210 861635 1033962 1069361 1195815 1217807 1723270 2138722 2391630 2435614 2584905 3208083 3653421 4997483 5169810 5346805 6089035 6416166 7306842 9994966 10693610 12178070 14992449 16040415 18267105 24987415 29984898 31011469 32080830 35316403 36534210 49974830 62022938 70632806 74962245 93034407 105949209 149924490 155057345 176582015 186068814 211898418 310114690 353164030 465172035 473726923 529746045 930344070 947453846 1059492090 1421180769 2368634615 2842361538 4737269230 7105903845 13738080767 14211807690 27476161534 41214242301 68690403835 82428484602 137380807670 206071211505 412142423010