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1041121424 = 24721638147
BaseRepresentation
bin111110000011100…
…100000010010000
32200120001110002202
4332003210002100
54113011341144
6251150502332
734541246300
oct7603440220
92616043082
101041121424
1149475aa32
122508049a8
131379072a5
149c3b3600
156160564e
hex3e0e4090

1041121424 has 60 divisors (see below), whose sum is σ = 2361192624. Its totient is φ = 443403072.

The previous prime is 1041121423. The next prime is 1041121441. The reversal of 1041121424 is 4241211401.

It is a junction number, because it is equal to n+sod(n) for n = 1041121396 and 1041121405.

It is not an unprimeable number, because it can be changed into a prime (1041121423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123719 + ... + 131865.

Almost surely, 21041121424 is an apocalyptic number.

1041121424 is a gapful number since it is divisible by the number (14) 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 1041121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180596312).

1041121424 is an abundant number, since it is smaller than the sum of its proper divisors (1320071200).

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

1041121424 is a wasteful number, since it uses less digits than its factorization.

1041121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1041121424 is about 32266.4132496936. The cubic root of 1041121424 is about 1013.5234336719.

Adding to 1041121424 its reverse (4241211401), we get a palindrome (5282332825).

The spelling of 1041121424 in words is "one billion, forty-one million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 163 196 326 392 652 784 1141 1304 2282 2608 4564 7987 8147 9128 15974 16294 18256 31948 32588 57029 63896 65176 114058 127792 130352 228116 399203 456232 798406 912464 1327961 1596812 2655922 3193624 5311844 6387248 9295727 10623688 18591454 21247376 37182908 65070089 74365816 130140178 148731632 260280356 520560712 1041121424