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40400213401200 = 24352113297936677
BaseRepresentation
bin10010010111110011010000…
…10111100101111001110000
312022001020000100001021201110
421023321220113211321300
520243404114112314300
6221531333554233320
711336550643605462
oct1113715027457160
9168036010037643
1040400213401200
11119666a82629a4
1246459b9885840
1319709541a2ab3
149d9548b4c132
154a0d8021a550
hex24be685e5e70

40400213401200 has 120 divisors (see below), whose sum is σ = 130560619286448. Its totient is φ = 10678050467840.

The previous prime is 40400213401159. The next prime is 40400213401213. The reversal of 40400213401200 is 210431200404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×404002134012002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148832739 + ... + 149103938.

Almost surely, 240400213401200 is an apocalyptic number.

40400213401200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400213401200 is an abundant number, since it is smaller than the sum of its proper divisors (90160405885248).

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

40400213401200 is a wasteful number, since it uses less digits than its factorization.

40400213401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297936811 (or 297936800 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40400213401200 its reverse (210431200404), we get a palindrome (40610644601604).

The spelling of 40400213401200 in words is "forty trillion, four hundred billion, two hundred thirteen million, four hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 904 1130 1200 1356 1695 1808 2260 2712 2825 3390 4520 5424 5650 6780 8475 9040 11300 13560 16950 22600 27120 33900 45200 67800 135600 297936677 595873354 893810031 1191746708 1489683385 1787620062 2383493416 2979366770 3575240124 4469050155 4766986832 5958733540 7150480248 7448416925 8938100310 11917467080 14300960496 14896833850 17876200620 22345250775 23834934160 29793667700 33666844501 35752401240 44690501550 59587335400 67333689002 71504802480 89381003100 101000533503 119174670800 134667378004 168334222505 178762006200 202001067006 269334756008 336668445010 357524012400 404002134012 505002667515 538669512016 673336890020 808004268024 841671112525 1010005335030 1346673780040 1616008536048 1683342225050 2020010670060 2525013337575 2693347560080 3366684450100 4040021340120 5050026675150 6733368900200 8080042680240 10100053350300 13466737800400 20200106700600 40400213401200