Search a number
-
+
3541304323232 = 2513231223930241
BaseRepresentation
bin110011100010000110001…
…011111010110010100000
3110112112201120212000021222
4303202012023322302200
5431010042401320412
611310504105434212
7513564552042044
oct63420613726240
913475646760258
103541304323232
111145949a725a5
124923b379b968
131c8c3601cc10
14c3585a12024
15621b6605072
hex338862faca0

3541304323232 has 96 divisors (see below), whose sum is σ = 7835590909440. Its totient is φ = 1563205754880.

The previous prime is 3541304323231. The next prime is 3541304323253. The reversal of 3541304323232 is 2323234031453.

It is a junction number, because it is equal to n+sod(n) for n = 3541304323192 and 3541304323201.

It is not an unprimeable number, because it can be changed into a prime (3541304323231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117087632 + ... + 117117872.

It is an arithmetic number, because the mean of its divisors is an integer number (81620738640).

Almost surely, 23541304323232 is an apocalyptic number.

3541304323232 is a gapful number since it is divisible by the number (32) 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 3541304323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917795454720).

3541304323232 is an abundant number, since it is smaller than the sum of its proper divisors (4294286586208).

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

3541304323232 is a wasteful number, since it uses less digits than its factorization.

3541304323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42526 (or 42518 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 3541304323232 its reverse (2323234031453), we get a palindrome (5864538354685).

The spelling of 3541304323232 in words is "three trillion, five hundred forty-one billion, three hundred four million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 12239 24478 30241 48956 60482 97912 120964 159107 195824 241928 281497 318214 391648 393133 483856 562994 636428 695543 786266 967712 1125988 1272856 1391086 1572532 2251976 2545712 2782172 3145064 3659461 4503952 5091424 5564344 6290128 7318922 9007904 9042059 11128688 12580256 14637844 18084118 22257376 29275688 36168236 58551376 72336472 117102752 144672944 289345888 370119599 740239198 1480478396 2960956792 4811554787 5921913584 8512750777 9623109574 11843827168 17025501554 19246219148 34051003108 38492438296 68102006216 76984876592 110665760101 136204012432 153969753184 221331520202 272408024864 442663040404 885326080808 1770652161616 3541304323232