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481446141 = 31123961043
BaseRepresentation
bin11100101100100…
…100100011111101
31020112220222221120
4130230210203331
51441222234031
6115435021153
714634140031
oct3454444375
91215828846
10481446141
11227844680
1211529a7b9
1378989c97
1447d261c1
152c400a96
hex1cb248fd

481446141 has 16 divisors (see below), whose sum is σ = 703226880. Its totient is φ = 290559920.

The previous prime is 481446127. The next prime is 481446157. The reversal of 481446141 is 141644184.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-481446141 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481446041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22635 + ... + 38408.

It is an arithmetic number, because the mean of its divisors is an integer number (43951680).

Almost surely, 2481446141 is an apocalyptic number.

It is an amenable number.

481446141 is a deficient number, since it is larger than the sum of its proper divisors (221780739).

481446141 is a wasteful number, since it uses less digits than its factorization.

481446141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61296.

The product of its digits is 12288, while the sum is 33.

The square root of 481446141 is about 21941.8809813562. The cubic root of 481446141 is about 783.7590524711.

It can be divided in two parts, 48144 and 6141, that added together give a triangular number (54285 = T329).

The spelling of 481446141 in words is "four hundred eighty-one million, four hundred forty-six thousand, one hundred forty-one".

Divisors: 1 3 11 33 239 717 2629 7887 61043 183129 671473 2014419 14589277 43767831 160482047 481446141