Search a number
-
+
43622728312153 = 3143457699110243
BaseRepresentation
bin10011110101100101101010…
…01110011010010101011001
312201110021212221101020011211
421322302311032122111121
521204203321421442103
6232440001004423121
712121431605444434
oct1172626516322531
9181407787336154
1043622728312153
11129993279876a1
124a86463547aa1
131b457b4749b83
14aab4cc02081b
15509ad982336d
hex27acb539a559

43622728312153 has 32 divisors (see below), whose sum is σ = 46189059817472. Its totient is φ = 41133658204800.

The previous prime is 43622728312021. The next prime is 43622728312171. The reversal of 43622728312153 is 35121382722634.

It is a cyclic number.

It is not a de Polignac number, because 43622728312153 - 225 = 43622694757721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 43622728312097 and 43622728312106.

It is not an unprimeable number, because it can be changed into a prime (43622728312193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4258779250 + ... + 4258789492.

It is an arithmetic number, because the mean of its divisors is an integer number (1443408119296).

Almost surely, 243622728312153 is an apocalyptic number.

43622728312153 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

43622728312153 is a deficient number, since it is larger than the sum of its proper divisors (2566331505319).

43622728312153 is a wasteful number, since it uses less digits than its factorization.

43622728312153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17765.

The product of its digits is 2903040, while the sum is 49.

The spelling of 43622728312153 in words is "forty-three trillion, six hundred twenty-two billion, seven hundred twenty-eight million, three hundred twelve thousand, one hundred fifty-three".

Divisors: 1 31 43 457 1333 6991 10243 14167 19651 216721 300613 317533 440449 609181 3194887 4681051 9319003 13653919 71608813 99041497 137380141 145112581 201285193 2219873203 3079178959 4258784371 6239840983 32725227541 95454547729 1014482053771 1407184784263 43622728312153