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40001342332230 = 233517557142910949
BaseRepresentation
bin10010001100001100010011…
…10011001101110101000110
312020122002110022202112222000
421012012021303031311012
520220340222114112410
6221024210223050130
711266000360504536
oct1106061163156506
9166562408675860
1040001342332230
1111822523a06154
1245a0640740946
1319421587049a6
149c410a8994c6
154957d79bedc0
hex246189ccdd46

40001342332230 has 256 divisors, whose sum is σ = 113237261280000. Its totient is φ = 10013600636928.

The previous prime is 40001342332223. The next prime is 40001342332271. The reversal of 40001342332230 is 3223324310004.

40001342332230 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 1 + 3 + 423 + 3 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40001342332194 and 40001342332203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3653418796 + ... + 3653429744.

It is an arithmetic number, because the mean of its divisors is an integer number (442333051875).

Almost surely, 240001342332230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001342332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56618630640000).

40001342332230 is an abundant number, since it is smaller than the sum of its proper divisors (73235918947770).

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

40001342332230 is a wasteful number, since it uses less digits than its factorization.

40001342332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12968 (or 12962 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40001342332230 its reverse (3223324310004), we get a palindrome (43224666642234).

The spelling of 40001342332230 in words is "forty trillion, one billion, three hundred forty-two million, three hundred thirty-two thousand, two hundred thirty".