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1412330324100 = 22352193239102061
BaseRepresentation
bin10100100011010101011…
…100101000000010000100
312000000110201200011022020
4110203111130220002010
5141114423030332400
63000452100203140
7204015601451553
oct24432534500204
95000421604266
101412330324100
114a4a69715293
121a98766994b0
13a324a325b37
144c500051d9a
1526b108ce2a0
hex148d5728084

1412330324100 has 144 divisors (see below), whose sum is σ = 4124741832960. Its totient is φ = 373098700800.

The previous prime is 1412330324087. The next prime is 1412330324123. The reversal of 1412330324100 is 14230332141.

It is a happy number.

It is a super-4 number, since 4×14123303241004 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13787070 + ... + 13889130.

Almost surely, 21412330324100 is an apocalyptic number.

1412330324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412330324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062370916480).

1412330324100 is an abundant number, since it is smaller than the sum of its proper divisors (2712411508860).

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

1412330324100 is a wasteful number, since it uses less digits than its factorization.

1412330324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102510 (or 102503 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1412330324100 its reverse (14230332141), we get a palindrome (1426560656241).

The spelling of 1412330324100 in words is "one trillion, four hundred twelve billion, three hundred thirty million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 239 300 386 478 579 717 772 956 965 1158 1195 1434 1930 2316 2390 2868 2895 3585 3860 4780 4825 5790 5975 7170 9650 11580 11950 14340 14475 17925 19300 23900 28950 35850 46127 57900 71700 92254 102061 138381 184508 204122 230635 276762 306183 408244 461270 510305 553524 612366 691905 922540 1020610 1153175 1224732 1383810 1530915 2041220 2306350 2551525 2767620 3061830 3459525 4612700 5103050 6123660 6919050 7654575 10206100 13838100 15309150 19697773 24392579 30618300 39395546 48785158 59093319 73177737 78791092 97570316 98488865 118186638 121962895 146355474 196977730 236373276 243925790 292710948 295466595 365888685 393955460 487851580 492444325 590933190 609814475 731777370 984888650 1181866380 1219628950 1463554740 1477332975 1829443425 1969777300 2439257900 2954665950 3658886850 4707767747 5909331900 7317773700 9415535494 14123303241 18831070988 23538838735 28246606482 47077677470 56493212964 70616516205 94155354940 117694193675 141233032410 235388387350 282466064820 353082581025 470776774700 706165162050 1412330324100