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23322144120040 = 2355771010491513
BaseRepresentation
bin1010100110110000111000…
…00111011001110011101000
310001120120112022201122212001
411103120130013121303220
511024102222343320130
6121334013424100344
74624653321100153
oct523303407316350
9101516468648761
1023322144120040
117481958392167
122747ba2a646b4
1310023655b4c3c
145a8b25230c9a
152a69e0d846ca
hex15361c1d9ce8

23322144120040 has 32 divisors (see below), whose sum is σ = 52565768558280. Its totient is φ = 9312689774592.

The previous prime is 23322144120031. The next prime is 23322144120043. The reversal of 23322144120040 is 4002144122332.

It can be written as a sum of positive squares in 4 ways, for example, as 18129661315236 + 5192482804804 = 4257894^2 + 2278702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23322144119990 and 23322144120008.

It is not an unprimeable number, because it can be changed into a prime (23322144120043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505222677 + ... + 505268836.

Almost surely, 223322144120040 is an apocalyptic number.

23322144120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23322144120040 is an abundant number, since it is smaller than the sum of its proper divisors (29243624438240).

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

23322144120040 is a wasteful number, since it uses less digits than its factorization.

23322144120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010492101 (or 1010492097 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23322144120040 its reverse (4002144122332), we get a palindrome (27324288242372).

The spelling of 23322144120040 in words is "twenty-three trillion, three hundred twenty-two billion, one hundred forty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 577 1154 2308 2885 4616 5770 11540 23080 1010491513 2020983026 4041966052 5052457565 8083932104 10104915130 20209830260 40419660520 583053603001 1166107206002 2332214412004 2915268015005 4664428824008 5830536030010 11661072060020 23322144120040