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20014303443440 = 24519173673113093
BaseRepresentation
bin1001000110011111100010…
…11100100111100111110000
32121212100102012220201101012
410203033301130213213300
510110403243140142230
6110322235530330052
74133662045211105
oct443176134474760
977770365821335
1020014303443440
116417022581879
1222b2aa5889928
13b22457727b37
144d29a9b62aac
1524a940958395
hex1233f17279f0

20014303443440 has 160 divisors (see below), whose sum is σ = 49339148431680. Its totient is φ = 7529256419328.

The previous prime is 20014303443401. The next prime is 20014303443517. The reversal of 20014303443440 is 4434430341002.

It is a junction number, because it is equal to n+sod(n) for n = 20014303443397 and 20014303443406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176915534 + ... + 177028626.

It is an arithmetic number, because the mean of its divisors is an integer number (308369677698).

Almost surely, 220014303443440 is an apocalyptic number.

20014303443440 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 20014303443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24669574215840).

20014303443440 is an abundant number, since it is smaller than the sum of its proper divisors (29324844988240).

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

20014303443440 is a wasteful number, since it uses less digits than its factorization.

20014303443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113971 (or 113965 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 20014303443440 its reverse (4434430341002), we get a palindrome (24448733784442).

The spelling of 20014303443440 in words is "twenty trillion, fourteen billion, three hundred three million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 173 190 304 346 380 673 692 760 865 1346 1384 1520 1730 2692 2768 3287 3365 3460 5384 6574 6730 6920 10768 12787 13148 13460 13840 16435 25574 26296 26920 32870 51148 52592 53840 63935 65740 102296 113093 116429 127870 131480 204592 226186 232858 255740 262960 452372 465716 511480 565465 582145 904744 931432 1022960 1130930 1164290 1809488 1862864 2148767 2212151 2261860 2328580 4297534 4424302 4523720 4657160 8595068 8848604 9047440 9314320 10743835 11060755 17190136 17697208 19565089 21487670 22121510 34380272 35394416 39130178 42975340 44243020 76111589 78260356 85950680 88486040 97825445 152223178 156520712 171901360 176972080 195650890 304446356 313041424 371736691 380557945 391301780 608892712 743473382 761115890 782603560 1217785424 1446120191 1486946764 1522231780 1565207120 1858683455 2892240382 2973893528 3044463560 3717366910 5784480764 5947787056 6088927120 7230600955 7434733820 11568961528 13167304897 14461201910 14869467640 23137923056 26334609794 28922403820 29738935280 52669219588 57844807640 65836524485 105338439176 115689615280 131673048970 210676878352 250178793043 263346097940 500357586086 526692195880 1000715172172 1053384391760 1250893965215 2001430344344 2501787930430 4002860688688 5003575860860 10007151721720 20014303443440