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2042434204344 = 233323394042631
BaseRepresentation
bin11101101110001010100…
…100001011001010111000
321020020212202021210002000
4131232022210023022320
5231430401124014334
64202140433141000
7300363265201362
oct35561244131270
97206782253060
102042434204344
11718211953656
1228ba070ba760
1311a7a6a1a121
1470bd6461d32
15381dd545299
hex1db8a90b2b8

2042434204344 has 64 divisors (see below), whose sum is σ = 5675855328000. Its totient is φ = 680520163680.

The previous prime is 2042434204259. The next prime is 2042434204379. The reversal of 2042434204344 is 4434024342402.

2042434204344 is a `hidden beast` number, since 20 + 424 + 3 + 4 + 204 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042434204299 and 2042434204308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516092 + ... + 2526539.

It is an arithmetic number, because the mean of its divisors is an integer number (88685239500).

Almost surely, 22042434204344 is an apocalyptic number.

2042434204344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042434204344 is an abundant number, since it is smaller than the sum of its proper divisors (3633421123656).

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

2042434204344 is a wasteful number, since it uses less digits than its factorization.

2042434204344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044985 (or 4044975 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2042434204344 its reverse (4434024342402), we get a palindrome (6476458546746).

The spelling of 2042434204344 in words is "two trillion, forty-two billion, four hundred thirty-four million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2339 4678 7017 9356 14034 18712 21051 28068 42102 56136 63153 84204 126306 168408 252612 505224 4042631 8085262 12127893 16170524 24255786 32341048 36383679 48511572 72767358 97023144 109151037 145534716 218302074 291069432 436604148 873208296 9455713909 18911427818 28367141727 37822855636 56734283454 75645711272 85101425181 113468566908 170202850362 226937133816 255304275543 340405700724 510608551086 680811401448 1021217102172 2042434204344