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24220000400040 = 23325193540935731
BaseRepresentation
bin1011000000111001010001…
…00001010011001010101000
310011202102001110201111002100
411200130220201103022220
511133310030100300130
6123302303052133400
75046560121413154
oct540345041231250
9104672043644070
1024220000400040
11779870a8a2435
122871bb9167260
131068c22bb6373
145da37ba2a064
152c00400aec60
hex1607288532a8

24220000400040 has 96 divisors (see below), whose sum is σ = 82857896128800. Its totient is φ = 6118736941440.

The previous prime is 24220000400039. The next prime is 24220000400053. The reversal of 24220000400040 is 4000400002242.

24220000400040 is a `hidden beast` number, since 2 + 4 + 220 + 0 + 0 + 0 + 400 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

24220000400040 is a modest number, since divided by 400040 gives 242200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 24220000399986 and 24220000400022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770461026 + ... + 1770474705.

It is an arithmetic number, because the mean of its divisors is an integer number (863103084675).

Almost surely, 224220000400040 is an apocalyptic number.

24220000400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24220000400040 is an abundant number, since it is smaller than the sum of its proper divisors (58637895728760).

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

24220000400040 is a wasteful number, since it uses less digits than its factorization.

24220000400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540935767 (or 3540935760 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 24220000400040 its reverse (4000400002242), we get a palindrome (28220400402282).

The spelling of 24220000400040 in words is "twenty-four trillion, two hundred twenty billion, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 3540935731 7081871462 10622807193 14163742924 17704678655 21245614386 28327485848 31868421579 35409357310 42491228772 53114035965 63736843158 67277778889 70818714620 84982457544 106228071930 127473686316 134555557778 141637429240 159342107895 201833336667 212456143860 254947372632 269111115556 318684215790 336388894445 403666673334 424912287720 538222231112 605500010001 637368431580 672777788890 807333346668 1009166683335 1211000020002 1274736863160 1345555577780 1614666693336 2018333366670 2422000040004 2691111155560 3027500050005 4036666733340 4844000080008 6055000100010 8073333466680 12110000200020 24220000400040