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412542214000 = 24537231281187
BaseRepresentation
bin1100000000011010110…
…11101001111101110000
31110102211202221212010021
412000031123221331300
523224341301322000
6513304055213224
741543115650410
oct6001533517560
91412752855107
10412542214000
11149a5a363414
1267b53677214
132cb96c18447
1415d77c04640
15aae7a7011a
hex600d6e9f70

412542214000 has 160 divisors (see below), whose sum is σ = 1189598432256. Its totient is φ = 135293241600.

The previous prime is 412542213997. The next prime is 412542214009. The reversal of 412542214000 is 412245214.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412542214009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318594 + ... + 962593.

Almost surely, 2412542214000 is an apocalyptic number.

412542214000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412542214000 is an abundant number, since it is smaller than the sum of its proper divisors (777056218256).

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

412542214000 is a wasteful number, since it uses less digits than its factorization.

412542214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281240 (or 1281224 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 412542214000 its reverse (412245214), we get a palindrome (412954459214).

The spelling of 412542214000 in words is "four hundred twelve billion, five hundred forty-two million, two hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 1840 2000 2300 2576 2800 2875 3220 3500 4025 4600 5750 6440 7000 8050 9200 11500 12880 14000 16100 20125 23000 32200 40250 46000 64400 80500 161000 322000 1281187 2562374 5124748 6405935 8968309 10249496 12811870 17936618 20498992 25623740 29467301 32029675 35873236 44841545 51247480 58934602 64059350 71746472 89683090 102494960 117869204 128118700 143492944 147336505 160148375 179366180 206271107 224207725 235738408 256237400 294673010 320296750 358732360 412542214 448415450 471476816 512474800 589346020 640593500 717464720 736682525 825084428 896830900 1031355535 1121038625 1178692040 1281187000 1473365050 1650168856 1793661800 2062711070 2242077250 2357384080 2562374000 2946730100 3300337712 3587323600 3683412625 4125422140 4484154500 5156777675 5893460200 7366825250 8250844280 8968309000 10313555350 11786920400 14733650500 16501688560 17936618000 20627110700 25783888375 29467301000 41254221400 51567776750 58934602000 82508442800 103135553500 206271107000 412542214000