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1000141908 = 223297393889
BaseRepresentation
bin111011100111001…
…111010001010100
32120200221110202220
4323213033101110
54022014020113
6243124302340
733533031423
oct7347172124
92520843686
101000141908
11473610467
1223ab419b0
1312c28995c
1496b872ba
155cc0d523
hex3b9cf454

1000141908 has 48 divisors (see below), whose sum is σ = 2418024000. Its totient is φ = 321366528.

The previous prime is 1000141903. The next prime is 1000141921. The reversal of 1000141908 is 8091410001.

It is a super-2 number, since 2×10001419082 = 2000567672275760928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000141903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255228 + ... + 259116.

It is an arithmetic number, because the mean of its divisors is an integer number (50375500).

Almost surely, 21000141908 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 1000141908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209012000).

1000141908 is an abundant number, since it is smaller than the sum of its proper divisors (1417882092).

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

1000141908 is a wasteful number, since it uses less digits than its factorization.

1000141908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1000141908 is about 31625.0202845785. The cubic root of 1000141908 is about 1000.0473004293.

Adding to 1000141908 its reverse (8091410001), we get a palindrome (9091551909).

The spelling of 1000141908 in words is "one billion, one hundred forty-one thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 739 1478 2217 2956 3889 4434 7778 8868 11667 15556 21431 23334 42862 46668 64293 85724 112781 128586 225562 257172 338343 451124 676686 1353372 2873971 5747942 8621913 11495884 17243826 34487652 83345159 166690318 250035477 333380636 500070954 1000141908