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22463412400440 = 23325116112192809
BaseRepresentation
bin1010001101110001010111…
…01101110111000100111000
32221112110222211111102202100
411012320223231313010320
510421020032033303230
6115435314343103400
74505633204651004
oct506705355670470
987473884442670
1022463412400440
117180752753230
122629687441b60
13c6c3a188b77b
14579340a3b704
1528e4d1866660
hex146e2bb77138

22463412400440 has 192 divisors, whose sum is σ = 79645168792800. Its totient is φ = 5445527961600.

The previous prime is 22463412400427. The next prime is 22463412400463. The reversal of 22463412400440 is 4400421436422.

22463412400440 is a `hidden beast` number, since 2 + 2 + 4 + 634 + 12 + 4 + 0 + 0 + 4 + 4 + 0 = 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 = 22463412400395 and 22463412400404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241992756 + ... + 242085564.

Almost surely, 222463412400440 is an apocalyptic number.

22463412400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22463412400440 is an abundant number, since it is smaller than the sum of its proper divisors (57181756392360).

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

22463412400440 is a wasteful number, since it uses less digits than its factorization.

22463412400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153958 (or 153951 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22463412400440 its reverse (4400421436422), we get a palindrome (26863833836862).

The spelling of 22463412400440 in words is "twenty-two trillion, four hundred sixty-three billion, four hundred twelve million, four hundred thousand, four hundred forty".