Search a number
-
+
420346114236 = 223219161132361
BaseRepresentation
bin1100001110111101001…
…01001011000010111100
31111011222122101001201100
412013132211023002330
523341332101123421
6521034312013100
742240366006216
oct6073645130274
91434878331640
10420346114236
111522a4472144
1269571091190
133083b93b5a9
14164b84235b6
15ae02c31c26
hex61de94b0bc

420346114236 has 36 divisors (see below), whose sum is σ = 1068104628864. Its totient is φ = 139381780800.

The previous prime is 420346114171. The next prime is 420346114261. The reversal of 420346114236 is 632411643024.

420346114236 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 4 + 611 + 4 + 2 + 36 = 666.

420346114236 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420346114236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30559305 + ... + 30573056.

It is an arithmetic number, because the mean of its divisors is an integer number (29669573024).

Almost surely, 2420346114236 is an apocalyptic number.

It is an amenable number.

420346114236 is an abundant number, since it is smaller than the sum of its proper divisors (647758514628).

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

420346114236 is a wasteful number, since it uses less digits than its factorization.

420346114236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61132562 (or 61132557 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 420346114236 in words is "four hundred twenty billion, three hundred forty-six million, one hundred fourteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 61132361 122264722 183397083 244529444 366794166 550191249 733588332 1100382498 2200764996 11676280951 23352561902 35028842853 46705123804 70057685706 105086528559 140115371412 210173057118 420346114236