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20423041420340 = 22513192385356473
BaseRepresentation
bin1001010010011000111000…
…01000010000110000110100
32200022102102212112022021002
410221030130020100300310
510134102342100422330
6111234114331542432
74205342001534326
oct451143410206064
980272385468232
1020423041420340
1165643aa4aa589
12235a1572baa18
13b51b664543c0
145086a2611616
152563b4521e45
hex12931c210c34

20423041420340 has 144 divisors (see below), whose sum is σ = 48759872526288. Its totient is φ = 7141949687808.

The previous prime is 20423041420337. The next prime is 20423041420403. The reversal of 20423041420340 is 4302414032402.

It can be written as a sum of positive squares in 8 ways, for example, as 690913388944 + 19732128031396 = 831212^2 + 4442086^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361614344 + ... + 361670816.

It is an arithmetic number, because the mean of its divisors is an integer number (338610225877).

Almost surely, 220423041420340 is an apocalyptic number.

20423041420340 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 20423041420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379936263144).

20423041420340 is an abundant number, since it is smaller than the sum of its proper divisors (28336831105948).

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

20423041420340 is a wasteful number, since it uses less digits than its factorization.

20423041420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60386 (or 60365 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 20423041420340 its reverse (4302414032402), we get a palindrome (24725455452742).

The spelling of 20423041420340 in words is "twenty trillion, four hundred twenty-three billion, forty-one million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 3853 4693 4940 7220 7706 9386 15412 18772 19265 23465 38530 46930 50089 56473 73207 77060 93860 100178 112946 146414 200356 225892 250445 282365 292828 366035 500890 564730 732070 734149 951691 1001780 1072987 1129460 1390933 1464140 1468298 1903382 2145974 2781866 2936596 3670745 3806764 4291948 4758455 5364935 5563732 6954665 7341490 9516910 10729870 13909330 13948831 14682980 18082129 19033820 20386753 21459740 27818660 27897662 36164258 40773506 55795324 69744155 72328516 81547012 90410645 101933765 139488310 180821290 203867530 217590469 265027789 278976620 361642580 407735060 435180938 530055578 870361876 1060111156 1087952345 1325138945 2175904690 2650277890 2828676097 4134218911 4351809380 5300555780 5657352194 8268437822 11314704388 14143380485 16536875644 20671094555 28286760970 41342189110 53744845843 56573521940 78550159309 82684378220 107489691686 157100318618 214979383372 268724229215 314200637236 392750796545 537448458430 785501593090 1021152071017 1074896916860 1571003186180 2042304142034 4084608284068 5105760355085 10211520710170 20423041420340