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41302145430 = 23457134383157
BaseRepresentation
bin100110011101110011…
…001011100110010110
310221121102021101020000
4212131303023212112
51134041322123210
630550212152130
72661335305110
oct463563134626
9127542241200
1041302145430
1116574a91197
128008008646
133b82a8bc10
141ddb4ca3b0
15111ae9cac0
hex99dccb996

41302145430 has 640 divisors, whose sum is σ = 142450818048. Its totient is φ = 8355529728.

The previous prime is 41302145407. The next prime is 41302145447. The reversal of 41302145430 is 3454120314.

It is a happy number.

41302145430 is a `hidden beast` number, since 4 + 13 + 0 + 214 + 5 + 430 = 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 = 41302145394 and 41302145403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 263070912 + ... + 263071068.

Almost surely, 241302145430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41302145430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71225409024).

41302145430 is an abundant number, since it is smaller than the sum of its proper divisors (101148672618).

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

41302145430 is a wasteful number, since it uses less digits than its factorization.

41302145430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41302145430 its reverse (3454120314), we get a palindrome (44756265744).

The spelling of 41302145430 in words is "forty-one billion, three hundred two million, one hundred forty-five thousand, four hundred thirty".