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41515136000 = 210531361409
BaseRepresentation
bin100110101010011111…
…101011010000000000
310222011021001102100122
4212222133223100000
51140010333323000
631023301235412
72666532555632
oct465237532000
9128137042318
1041515136000
1116674237158
128067402b68
133bb7c44040
14201b8d0a52
15112ea21085
hex9aa7eb400

41515136000 has 352 divisors, whose sum is σ = 113643872160. Its totient is φ = 15040512000.

The previous prime is 41515135993. The next prime is 41515136017. The reversal of 41515136000 is 63151514.

It can be written as a sum of positive squares in 16 ways, for example, as 37431414784 + 4083721216 = 193472^2 + 63904^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101503796 + ... + 101504204.

Almost surely, 241515136000 is an apocalyptic number.

41515136000 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 41515136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56821936080).

41515136000 is an abundant number, since it is smaller than the sum of its proper divisors (72128736160).

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

41515136000 is a wasteful number, since it uses less digits than its factorization.

41515136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 41515136000 its reverse (63151514), we get a palindrome (41578287514).

The spelling of 41515136000 in words is "forty-one billion, five hundred fifteen million, one hundred thirty-six thousand".