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41302420432 = 2471338972923
BaseRepresentation
bin100110011101110100…
…001110101111010000
310221121102210100110021
4212131310032233100
51134041404423212
630550222113224
72661340531630
oct463564165720
9127542710407
1041302420432
1116575159869
12800811b814
133b82b57140
141ddb55c6c0
15111b004307
hex99dd0ebd0

41302420432 has 80 divisors (see below), whose sum is σ = 98744929920. Its totient is φ = 16297191936.

The previous prime is 41302420429. The next prime is 41302420451. The reversal of 41302420432 is 23402420314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41302420397 and 41302420406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529923 + ... + 602845.

It is an arithmetic number, because the mean of its divisors is an integer number (1234311624).

Almost surely, 241302420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41302420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49372464960).

41302420432 is an abundant number, since it is smaller than the sum of its proper divisors (57442509488).

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

41302420432 is a wasteful number, since it uses less digits than its factorization.

41302420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73340 (or 73334 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 41302420432 its reverse (23402420314), we get a palindrome (64704840746).

The spelling of 41302420432 in words is "forty-one billion, three hundred two million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 389 728 778 1456 1556 2723 3112 5057 5446 6224 10114 10892 20228 21784 35399 40456 43568 70798 72923 80912 141596 145846 283192 291692 510461 566384 583384 947999 1020922 1166768 1895998 2041844 3791996 4083688 6635993 7583992 8167376 13271986 15167984 26543972 28367047 53087944 56734094 106175888 113468188 198569329 226936376 368771611 397138658 453872752 737543222 794277316 1475086444 1588554632 2581401277 2950172888 3177109264 5162802554 5900345776 10325605108 20651210216 41302420432