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41142022223040 = 26325592083116239
BaseRepresentation
bin10010101101011000111111…
…00111101011010011000000
312101200010202021012220001100
421112230133213223103000
520343032330142114130
6223300214543534400
711444261443552044
oct1126543747532300
9171603667186040
1041142022223040
1112122262a7a212
124745723bba400
1319c58a338086b
14a233da952024
154b52e99a6c60
hex256b1f9eb4c0

41142022223040 has 336 divisors, whose sum is σ = 143980238937600. Its totient is φ = 10779982792704.

The previous prime is 41142022223021. The next prime is 41142022223051. The reversal of 41142022223040 is 4032222024114.

It is a happy number.

41142022223040 is a `hidden beast` number, since 4 + 1 + 1 + 420 + 2 + 2 + 2 + 230 + 4 + 0 = 666.

It is a super-2 number, since 2×411420222230402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41142022222995 and 41142022223013.

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, 353885241 + ... + 354001479.

Almost surely, 241142022223040 is an apocalyptic number.

41142022223040 is a gapful number since it is divisible by the number (40) 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 41142022223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71990119468800).

41142022223040 is an abundant number, since it is smaller than the sum of its proper divisors (102838216714560).

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

41142022223040 is a wasteful number, since it uses less digits than its factorization.

41142022223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118404 (or 118391 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41142022223040 its reverse (4032222024114), we get a palindrome (45174244247154).

The spelling of 41142022223040 in words is "forty-one trillion, one hundred forty-two billion, twenty-two million, two hundred twenty-three thousand, forty".