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2042044034440 = 2351718116591193
BaseRepresentation
bin11101101101110011010…
…011110010110110001000
321020012212120010002120211
4131231303103302312020
5231424101233100230
64202034014330504
7300350516620654
oct35556323626610
97205776102524
102042044034440
11718031692193
1228b9184b9a34
1311a743c3ac67
1470b9a6d9a64
15381b917442a
hex1db734f2d88

2042044034440 has 64 divisors (see below), whose sum is σ = 4891747638960. Its totient is φ = 764522127360.

The previous prime is 2042044034431. The next prime is 2042044034483. The reversal of 2042044034440 is 444304402402.

It can be written as a sum of positive squares in 8 ways, for example, as 447981230596 + 1594062803844 = 669314^2 + 1262562^2 .

It is a super-2 number, since 2×20420440344402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8172517 + ... + 8418676.

Almost surely, 22042044034440 is an apocalyptic number.

2042044034440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042044034440 is an abundant number, since it is smaller than the sum of its proper divisors (2849703604520).

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

2042044034440 is a wasteful number, since it uses less digits than its factorization.

2042044034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591402 (or 16591398 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 2042044034440 its reverse (444304402402), we get a palindrome (2486348436842).

The spelling of 2042044034440 in words is "two trillion, forty-two billion, forty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 181 340 362 680 724 905 1448 1810 3077 3620 6154 7240 12308 15385 24616 30770 61540 123080 16591193 33182386 66364772 82955965 132729544 165911930 282050281 331823860 564100562 663647720 1128201124 1410251405 2256402248 2820502810 3003005933 5641005620 6006011866 11282011240 12012023732 15015029665 24024047464 30030059330 51051100861 60060118660 102102201722 120120237320 204204403444 255255504305 408408806888 510511008610 1021022017220 2042044034440