Search a number
-
+
4131958729284 = 2236376432
BaseRepresentation
bin111100001000001011111…
…011101010101001000100
3112122000022022022201000000
4330020023323222221010
51020144222413314114
612442110131321300
7604344534462351
oct74101373525104
915560268281000
104131958729284
111353398a8a031
12568974750230
1323c846727579
14103db89dd628
1572735c7ce09
hex3c20beeaa44

4131958729284 has 63 divisors (see below), whose sum is σ = 10841720194543. Its totient is φ = 1377282987432.

The previous prime is 4131958729279. The next prime is 4131958729321. The reversal of 4131958729284 is 4829278591314.

The square root of 4131958729284 is 2032722.

It is a perfect power (a square), and thus also a powerful number.

4131958729284 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 9 + 587 + 29 + 28 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 109748167 + ... + 109785809.

Almost surely, 24131958729284 is an apocalyptic number.

4131958729284 is the 2032722-nd square number.

It is an amenable number.

4131958729284 is an abundant number, since it is smaller than the sum of its proper divisors (6709761465259).

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

4131958729284 is an frugal number, since it uses more digits than its factorization.

4131958729284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75308 (or 37648 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 4131958729284 in words is "four trillion, one hundred thirty-one billion, nine hundred fifty-eight million, seven hundred twenty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 37643 75286 112929 150572 225858 338787 451716 677574 1016361 1355148 2032722 3049083 4065444 6098166 9147249 12196332 18294498 27441747 36588996 54883494 109766988 1416995449 2833990898 4250986347 5667981796 8501972694 12752959041 17003945388 25505918082 38258877123 51011836164 76517754246 114776631369 153035508492 229553262738 344329894107 459106525476 688659788214 1032989682321 1377319576428 2065979364642 4131958729284