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20114415235640 = 23511701137347497
BaseRepresentation
bin1001001001011010000001…
…00100110011001000111000
32122012220211011220200200202
410210231000210303020320
510114023310300020030
6110440233525421332
74144134650334305
oct444550044631070
978186734820622
1020114415235640
116455526023020
12230a384b6a848
13b2ba204495bb
144d77859a40ac
1524d34e8c6745
hex124b40933238

20114415235640 has 128 divisors (see below), whose sum is σ = 49479228976320. Its totient is φ = 7298425344000.

The previous prime is 20114415235633. The next prime is 20114415235661. The reversal of 20114415235640 is 4653251441102.

It is a junction number, because it is equal to n+sod(n) for n = 20114415235594 and 20114415235603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423464372 + ... + 423511868.

Almost surely, 220114415235640 is an apocalyptic number.

20114415235640 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 20114415235640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24739614488160).

20114415235640 is an abundant number, since it is smaller than the sum of its proper divisors (29364813740680).

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

20114415235640 is a wasteful number, since it uses less digits than its factorization.

20114415235640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49593 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 20114415235640 its reverse (4653251441102), we get a palindrome (24767666676742).

The spelling of 20114415235640 in words is "twenty trillion, one hundred fourteen billion, four hundred fifteen million, two hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1373 1402 2746 2804 3505 5492 5608 6865 7010 7711 10984 13730 14020 15103 15422 27460 28040 30206 30844 38555 47497 54920 60412 61688 75515 77110 94994 120824 151030 154220 189988 237485 302060 308440 379976 474970 522467 604120 949940 962473 1044934 1899880 1924946 2089868 2612335 3849892 4179736 4812365 5224670 7699784 9624730 10449340 10587203 19249460 20898680 21174406 33295397 38498920 42348812 52936015 65213381 66590794 84697624 105872030 130426762 133181588 166476985 211744060 260853524 266363176 326066905 332953970 366249367 423488120 521707048 652133810 665907940 717347191 732498734 1304267620 1331815880 1434694382 1464997468 1831246835 2608535240 2869388764 2929994936 3586735955 3662493670 5738777528 7173471910 7324987340 14346943820 14649974680 28693887640 45714580081 91429160162 182858320324 228572900405 365716640648 457145800810 502860380891 914291601620 1005720761782 1828583203240 2011441523564 2514301904455 4022883047128 5028603808910 10057207617820 20114415235640