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2043332024040 = 2332541138437129
BaseRepresentation
bin11101101111000000000…
…101000101011011101000
321020100012022200202011100
4131233000011011123220
5231434220444232130
64202405504401400
7300424446426456
oct35570005053350
97210168622140
102043332024040
117186327268aa
12290017916260
1311a8baa2c298
1470c7d7b19d6
1538242290c60
hex1dbc01456e8

2043332024040 has 96 divisors (see below), whose sum is σ = 6802800568200. Its totient is φ = 531598571520.

The previous prime is 2043332024011. The next prime is 2043332024057. The reversal of 2043332024040 is 404202333402.

2043332024040 is a `hidden beast` number, since 20 + 4 + 3 + 33 + 202 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1782208980036 + 261123044004 = 1334994^2 + 511002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2043332023995 and 2043332024013.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69203805 + ... + 69233324.

Almost surely, 22043332024040 is an apocalyptic number.

2043332024040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2043332024040 is an abundant number, since it is smaller than the sum of its proper divisors (4759468544160).

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

2043332024040 is a wasteful number, since it uses less digits than its factorization.

2043332024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138437187 (or 138437180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2043332024040 its reverse (404202333402), we get a palindrome (2447534357442).

The spelling of 2043332024040 in words is "two trillion, forty-three billion, three hundred thirty-two million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 138437129 276874258 415311387 553748516 692185645 830622774 1107497032 1245934161 1384371290 1661245548 2076556935 2491868322 2768742580 3322491096 4153113870 4983736644 5537485160 5675922289 6229670805 8306227740 9967473288 11351844578 12459341610 16612455480 17027766867 22703689156 24918683220 28379611445 34055533734 45407378312 49837366440 51083300601 56759222890 68111067468 85138834335 102166601202 113518445780 136222134936 170277668670 204333202404 227036891560 255416503005 340555337340 408666404808 510833006010 681110674680 1021666012020 2043332024040