Search a number
-
+
1224307422144 = 26322125533719
BaseRepresentation
bin10001110100001110011…
…010001011001111000000
311100001011002102002120200
4101310032122023033000
5130024340200002034
62334234501005200
7154311323245002
oct21641632131700
94301132362520
101224307422144
11432253693124
121793420b3800
138b5b44b0231
144338490a372
1521ca8ba4a99
hex11d0e68b3c0

1224307422144 has 42 divisors (see below), whose sum is σ = 3509256171720. Its totient is φ = 408102473856.

The previous prime is 1224307422137. The next prime is 1224307422157. The reversal of 1224307422144 is 4412247034221.

1224307422144 is a `hidden beast` number, since 1 + 2 + 2 + 430 + 7 + 4 + 2 + 214 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1224307422099 and 1224307422108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1062766284 + ... + 1062767435.

Almost surely, 21224307422144 is an apocalyptic number.

It is an amenable number.

1224307422144 is an abundant number, since it is smaller than the sum of its proper divisors (2284948749576).

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

1224307422144 is a wasteful number, since it uses less digits than its factorization.

1224307422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125533737 (or 2125533724 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 1224307422144 in words is "one trillion, two hundred twenty-four billion, three hundred seven million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2125533719 4251067438 6376601157 8502134876 12753202314 17004269752 19129803471 25506404628 34008539504 38259606942 51012809256 68017079008 76519213884 102025618512 136034158016 153038427768 204051237024 306076855536 408102474048 612153711072 1224307422144