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4101424103140 = 22571347131571641
BaseRepresentation
bin111011101011101111111…
…011010011111011100100
3112112002111022000222102121
4323223233323103323210
51014144204032300030
612420100200315324
7602214053442610
oct73535773237344
915462438028377
104101424103140
111341449a89511
12562a72772b44
132399bb675850
1410271d588340
1571a4a24b47a
hex3baefed3ee4

4101424103140 has 384 divisors, whose sum is σ = 10944943865856. Its totient is φ = 1256546304000.

The previous prime is 4101424103131. The next prime is 4101424103191. The reversal of 4101424103140 is 413014241014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6398477220 + ... + 6398477860.

It is an arithmetic number, because the mean of its divisors is an integer number (28502457984).

Almost surely, 24101424103140 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 4101424103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472471932928).

4101424103140 is an abundant number, since it is smaller than the sum of its proper divisors (6843519762716).

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

4101424103140 is a wasteful number, since it uses less digits than its factorization.

4101424103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 4101424103140 its reverse (413014241014), we get a palindrome (4514438344154).

The spelling of 4101424103140 in words is "four trillion, one hundred one billion, four hundred twenty-four million, one hundred three thousand, one hundred forty".