Search a number
-
+
4122133032420 = 22325131761595313
BaseRepresentation
bin111011111111000010010…
…001100110110111100100
3112121001221112112120211100
4323333002101212313210
51020014112024014140
612433403132440100
7603546204440664
oct73770221466744
915531845476740
104122133032420
11134a2066a65a7
12566a92019030
1323b93bb97c60
14103725a901a4
157235d350530
hex3bfc2466de4

4122133032420 has 72 divisors (see below), whose sum is σ = 13465634580216. Its totient is φ = 1014678899712.

The previous prime is 4122133032379. The next prime is 4122133032443. The reversal of 4122133032420 is 242303312214.

4122133032420 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 1 + 330 + 324 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 997549056 + 4121135483364 = 31584^2 + 2030058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880795317 + ... + 880799996.

It is an arithmetic number, because the mean of its divisors is an integer number (187022702503).

Almost surely, 24122133032420 is an apocalyptic number.

It is an amenable number.

4122133032420 is an abundant number, since it is smaller than the sum of its proper divisors (9343501547796).

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

4122133032420 is a wasteful number, since it uses less digits than its factorization.

4122133032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761595341 (or 1761595336 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4122133032420 its reverse (242303312214), we get a palindrome (4364436344634).

The spelling of 4122133032420 in words is "four trillion, one hundred twenty-two billion, one hundred thirty-three million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1761595313 3523190626 5284785939 7046381252 8807976565 10569571878 15854357817 17615953130 21139143756 22900739069 26423929695 31708715634 35231906260 45801478138 52847859390 63417431268 68702217207 79271789085 91602956276 105695718780 114503695345 137404434414 158543578170 206106651621 229007390690 274808868828 317087156340 343511086035 412213303242 458014781380 687022172070 824426606484 1030533258105 1374044344140 2061066516210 4122133032420