Search a number
-
+
100041431441 = 737879377297
BaseRepresentation
bin101110100101011101…
…1110001100110010001
3100120020001121021111112
41131022323301212101
53114341101301231
6113543003023105
710141056064610
oct1351273614621
9316201537445
10100041431441
1139477864166
121747b80aa95
1395842879a3
144bb0767877
152907bc092b
hex174aef1991

100041431441 has 8 divisors (see below), whose sum is σ = 114336385920. Its totient is φ = 85747307328.

The previous prime is 100041431387. The next prime is 100041431507. The reversal of 100041431441 is 144134140001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100041431441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100041431141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76505 + ... + 453801.

It is an arithmetic number, because the mean of its divisors is an integer number (14292048240).

Almost surely, 2100041431441 is an apocalyptic number.

It is an amenable number.

100041431441 is a deficient number, since it is larger than the sum of its proper divisors (14294954479).

100041431441 is an equidigital number, since it uses as much as digits as its factorization.

100041431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415183.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 100041431441 its reverse (144134140001), we get a palindrome (244175571442).

The spelling of 100041431441 in words is "one hundred billion, forty-one million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 7 37879 265153 377297 2641079 14291633063 100041431441