Search a number
-
+
420124214220 = 223567211495301
BaseRepresentation
bin1100001110100010101…
…10101100001111001100
31111011102011211101010020
412013101112230033030
523340403244323340
6521000303542140
742232032620334
oct6072126541714
91434364741106
10420124214220
111521a01913a7
126950a8ba950
13308049870c9
1416496b800c4
15addd4ed9d0
hex61d15ac3cc

420124214220 has 96 divisors (see below), whose sum is σ = 1199565970176. Its totient is φ = 109837728000.

The previous prime is 420124214189. The next prime is 420124214239. The reversal of 420124214220 is 22412421024.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 600570 + ... + 1095870.

It is an arithmetic number, because the mean of its divisors is an integer number (12495478856).

Almost surely, 2420124214220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420124214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599782985088).

420124214220 is an abundant number, since it is smaller than the sum of its proper divisors (779441755956).

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

420124214220 is a wasteful number, since it uses less digits than its factorization.

420124214220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495591 (or 495589 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 420124214220 its reverse (22412421024), we get a palindrome (442536635244).

The spelling of 420124214220 in words is "four hundred twenty billion, one hundred twenty-four million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 211 268 335 402 422 633 670 804 844 1005 1055 1266 1340 2010 2110 2532 3165 4020 4220 6330 12660 14137 28274 42411 56548 70685 84822 141370 169644 212055 282740 424110 495301 848220 990602 1485903 1981204 2476505 2971806 4953010 5943612 7429515 9906020 14859030 29718060 33185167 66370334 99555501 104508511 132740668 165925835 199111002 209017022 313525533 331851670 398222004 418034044 497777505 522542555 627051066 663703340 995555010 1045085110 1254102132 1567627665 1991110020 2090170220 3135255330 6270510660 7002070237 14004140474 21006210711 28008280948 35010351185 42012421422 70020702370 84024842844 105031053555 140041404740 210062107110 420124214220