Search a number
-
+
342133533441 = 327235912371747
BaseRepresentation
bin1001111101010001011…
…11110110101100000001
31012201002212121021220200
410332220233312230001
521101142141032231
6421101324555413
733501250023300
oct4765057665401
91181085537820
10342133533441
11122109507617
12563839b2b69
1326355c1039b
14127b8c08437
158d76633be6
hex4fa8bf6b01

342133533441 has 72 divisors (see below), whose sum is σ = 577275042240. Its totient is φ = 194691180096.

The previous prime is 342133533433. The next prime is 342133533451. The reversal of 342133533441 is 144335331243.

342133533441 is a `hidden beast` number, since 34 + 2 + 133 + 53 + 3 + 441 = 666.

It is not a de Polignac number, because 342133533441 - 23 = 342133533433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342133533396 and 342133533405.

It is not an unprimeable number, because it can be changed into a prime (342133533451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195839730 + ... + 195841476.

It is an arithmetic number, because the mean of its divisors is an integer number (8017708920).

Almost surely, 2342133533441 is an apocalyptic number.

It is an amenable number.

342133533441 is a deficient number, since it is larger than the sum of its proper divisors (235141508799).

342133533441 is a wasteful number, since it uses less digits than its factorization.

342133533441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3353 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Adding to 342133533441 its reverse (144335331243), we get a palindrome (486468864684).

The spelling of 342133533441 in words is "three hundred forty-two billion, one hundred thirty-three million, five hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 359 441 1077 1237 1747 2513 3231 3711 5241 7539 8659 11133 12229 15723 17591 22617 25977 36687 52773 60613 77931 85603 110061 158319 181839 256809 444083 545517 627173 770427 1332249 1881519 2161039 3108581 3996747 4390211 5644557 6483117 9325743 13170633 15127273 19449351 21760067 27977229 30731477 39511899 45381819 65280201 92194431 105890911 136145457 195840603 276583293 317672733 775813001 953018199 2327439003 5430691007 6982317009 16292073021 38014837049 48876219063 114044511147 342133533441