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216407114000 = 24537111405241
BaseRepresentation
bin1100100110001011011…
…1101000000100010000
3202200120210011102201022
43021202313220010100
512021200210122000
6243225511255012
721430525055420
oct3114267500420
9680523142638
10216407114000
11838611a0850
1235b3637a468
131753a537a5c
14a68d14a480
155968a86585
hex3262de8110

216407114000 has 160 divisors (see below), whose sum is σ = 652392029952. Its totient is φ = 67451520000.

The previous prime is 216407113999. The next prime is 216407114009. The reversal of 216407114000 is 411704612.

It is not an unprimeable number, because it can be changed into a prime (216407114009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548621 + ... + 856620.

Almost surely, 2216407114000 is an apocalyptic number.

216407114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216407114000 is an abundant number, since it is smaller than the sum of its proper divisors (435984915952).

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

216407114000 is a wasteful number, since it uses less digits than its factorization.

216407114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405282 (or 1405266 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 216407114000 its reverse (411704612), we get a palindrome (216818818612).

The spelling of 216407114000 in words is "two hundred sixteen billion, four hundred seven million, one hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 1405241 2810482 5620964 7026205 9836687 11241928 14052410 15457651 19673374 22483856 28104820 30915302 35131025 39346748 49183435 56209640 61830604 70262050 77288255 78693496 98366870 108203557 112419280 123661208 140524100 154576510 157386992 175655125 196733740 216407114 245917175 247322416 281048200 309153020 351310250 386441275 393467480 432814228 491834350 541017785 562096400 618306040 702620500 772882550 786934960 865628456 983668700 1082035570 1229585875 1236612080 1405241000 1545765100 1731256912 1932206375 1967337400 2164071140 2459171750 2705088925 2810482000 3091530200 3864412750 3934674800 4328142280 4918343500 5410177850 6183060400 7728825500 8656284560 9836687000 10820355700 13525444625 15457651000 19673374000 21640711400 27050889250 30915302000 43281422800 54101778500 108203557000 216407114000