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400021400033340 = 2235291371678082893
BaseRepresentation
bin101101011110100010011110…
…1011100111001100000111100
31221110100200011011012110002020
41122331010331130321200330
5404412422311402031330
63534435143320000140
7150154410126131151
oct13275047534714074
91843320134173066
10400021400033340
11106506139867468
1238a469b1600050
1314228b18cb6387
1470ad1d3850228
15313a71bc49210
hex16bd13d73983c

400021400033340 has 96 divisors (see below), whose sum is σ = 1167140214434880. Its totient is φ = 102242234443776.

The previous prime is 400021400033279. The next prime is 400021400033377. The reversal of 400021400033340 is 43330004120004.

It is a super-2 number, since 2×4000214000333402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400021400033340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838803067 + ... + 839279826.

It is an arithmetic number, because the mean of its divisors is an integer number (12157710567030).

Almost surely, 2400021400033340 is an apocalyptic number.

It is an amenable number.

400021400033340 is an abundant number, since it is smaller than the sum of its proper divisors (767118814401540).

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

400021400033340 is a wasteful number, since it uses less digits than its factorization.

400021400033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678083071 (or 1678083069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 400021400033340 its reverse (43330004120004), we get a palindrome (443351404153344).

The spelling of 400021400033340 in words is "four hundred trillion, twenty-one billion, four hundred million, thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 137 145 174 274 290 348 411 435 548 580 685 822 870 1370 1644 1740 2055 2740 3973 4110 7946 8220 11919 15892 19865 23838 39730 47676 59595 79460 119190 238380 1678082893 3356165786 5034248679 6712331572 8390414465 10068497358 16780828930 20136994716 25171243395 33561657860 48664403897 50342486790 97328807794 100684973580 145993211691 194657615588 229897356341 243322019485 291986423382 459794712682 486644038970 583972846764 689692069023 729966058455 919589425364 973288077940 1149486781705 1379384138046 1459932116910 2298973563410 2758768276092 2919864233820 3448460345115 4597947126820 6667023333889 6896920690230 13334046667778 13793841380460 20001070001667 26668093335556 33335116669445 40002140003334 66670233338890 80004280006668 100005350008335 133340466677780 200010700016670 400021400033340