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20440400540 = 2257241683887
BaseRepresentation
bin10011000010010101…
…111100001010011100
31221202112012221012212
4103002111330022130
5313330220304130
613220140415552
71322350352330
oct230225741234
957675187185
1020440400540
11873a08950a
123b655475b8
131c099c3181
14dbc9a57c0
157e975ee95
hex4c257c29c

20440400540 has 96 divisors (see below), whose sum is σ = 49388258304. Its totient is φ = 6960983040.

The previous prime is 20440400527. The next prime is 20440400543. The reversal of 20440400540 is 4500404402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440400543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23043977 + ... + 23044863.

It is an arithmetic number, because the mean of its divisors is an integer number (514461024).

Almost surely, 220440400540 is an apocalyptic number.

20440400540 is a gapful number since it is divisible by the number (20) 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 20440400540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694129152).

20440400540 is an abundant number, since it is smaller than the sum of its proper divisors (28947857764).

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

20440400540 is a wasteful number, since it uses less digits than its factorization.

20440400540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 20440400540 its reverse (4500404402), we get a palindrome (24940804942).

The spelling of 20440400540 in words is "twenty billion, four hundred forty million, four hundred thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 683 887 964 1205 1366 1687 1774 2410 2732 3374 3415 3548 4435 4781 4820 6209 6748 6830 8435 8870 9562 12418 13660 16870 17740 19124 23905 24836 31045 33740 47810 62090 95620 124180 164603 213767 329206 427534 605821 658412 823015 855068 1068835 1152221 1211642 1496369 1646030 2137670 2304442 2423284 2992738 3029105 3292060 4240747 4275340 4608884 5761105 5985476 6058210 7481845 8481494 11522210 12116420 14963690 16962988 21203735 23044420 29927380 42407470 84814940 146002861 292005722 584011444 730014305 1022020027 1460028610 2044040054 2920057220 4088080108 5110100135 10220200270 20440400540