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20041442001 = 3271771263561
BaseRepresentation
bin10010101010100100…
…000010001011010001
31220201201111201222200
4102222210002023101
5312021102121001
613112405353413
71306434306030
oct225244021321
956651451880
1020041442001
118554965009
123a73a08869
131b75157929
14d819d2717
157c4705086
hex4aa9022d1

20041442001 has 48 divisors (see below), whose sum is σ = 35523940608. Its totient is φ = 10626739200.

The previous prime is 20041441997. The next prime is 20041442023. The reversal of 20041442001 is 10024414002.

20041442001 is a `hidden beast` number, since 200 + 41 + 4 + 420 + 0 + 1 = 666.

It is not a de Polignac number, because 20041442001 - 22 = 20041441997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20041442051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55740 + ... + 207821.

It is an arithmetic number, because the mean of its divisors is an integer number (740082096).

Almost surely, 220041442001 is an apocalyptic number.

20041442001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20041442001 is a deficient number, since it is larger than the sum of its proper divisors (15482498607).

20041442001 is a wasteful number, since it uses less digits than its factorization.

20041442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263662 (or 263659 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20041442001 its reverse (10024414002), we get a palindrome (30065856003).

The spelling of 20041442001 in words is "twenty billion, forty-one million, four hundred forty-two thousand, one".

Divisors: 1 3 7 9 17 21 51 63 71 119 153 213 357 497 639 1071 1207 1491 3621 4473 8449 10863 25347 76041 263561 790683 1844927 2372049 4480537 5534781 13441611 16604343 18712831 31363759 40324833 56138493 94091277 130989817 168415479 282273831 318118127 392969451 954354381 1178908353 2226826889 2863063143 6680480667 20041442001