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4024411234040 = 2352314333052589
BaseRepresentation
bin111010100100000001100…
…110100001111011111000
3112020201201010201212200102
4322210001212201323320
51011413443233442130
612320442231254532
7563516443034501
oct72440146417370
915221633655612
104024411234040
11131181a25305a
1254bb5b21a448
1323266736a812
14dcad5425ba8
156ea3e12d645
hex3a9019a1ef8

4024411234040 has 64 divisors (see below), whose sum is σ = 9455214369600. Its totient is φ = 1538699717632.

The previous prime is 4024411233823. The next prime is 4024411234049. The reversal of 4024411234040 is 404321144204.

It is a junction number, because it is equal to n+sod(n) for n = 4024411233994 and 4024411234012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024411234049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207935 + ... + 2844654.

It is an arithmetic number, because the mean of its divisors is an integer number (147737724525).

Almost surely, 24024411234040 is an apocalyptic number.

4024411234040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024411234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727607184800).

4024411234040 is an abundant number, since it is smaller than the sum of its proper divisors (5430803135560).

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

4024411234040 is a wasteful number, since it uses less digits than its factorization.

4024411234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054056 (or 3054052 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4024411234040 its reverse (404321144204), we get a palindrome (4428732378244).

The spelling of 4024411234040 in words is "four trillion, twenty-four billion, four hundred eleven million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1433 2866 5732 7165 11464 14330 28660 32959 57320 65918 131836 164795 263672 329590 659180 1318360 3052589 6105178 12210356 15262945 24420712 30525890 61051780 70209547 122103560 140419094 280838188 351047735 561676376 702095470 1404190940 2808381880 4374360037 8748720074 17497440148 21871800185 34994880296 43743600370 87487200740 100610280851 174974401480 201220561702 402441123404 503051404255 804882246808 1006102808510 2012205617020 4024411234040