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22915711145040 = 2435710723973001
BaseRepresentation
bin1010011010111011110101…
…10100101001010001010000
310000010201110022101022010220
411031131322310221101100
511000422334023120130
6120423155442553040
74553414453600040
oct515357264512120
9100121408338126
1022915711145040
1173355535914aa
1226a1275368780
13ca2c3329241c
145931aa953720
1529b154829410
hex14d77ad29450

22915711145040 has 480 divisors, whose sum is σ = 82186747878144. Its totient is φ = 5174129664000.

The previous prime is 22915711145039. The next prime is 22915711145087. The reversal of 22915711145040 is 4054111751922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22915711144983 and 22915711145001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7636023540 + ... + 7636026540.

Almost surely, 222915711145040 is an apocalyptic number.

22915711145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22915711145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41093373939072).

22915711145040 is an abundant number, since it is smaller than the sum of its proper divisors (59271036733104).

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

22915711145040 is a wasteful number, since it uses less digits than its factorization.

22915711145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

Adding to 22915711145040 its reverse (4054111751922), we get a palindrome (26969822896962).

The spelling of 22915711145040 in words is "twenty-two trillion, nine hundred fifteen billion, seven hundred eleven million, one hundred forty-five thousand, forty".