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104211431442 = 2346110545581
BaseRepresentation
bin110000100001101111…
…1000100000000010010
3100221222200012020010000
41201003133010000102
53201411111301232
6115512444350430
710346312360166
oct1410337040022
9327880166100
10104211431442
11402176aa958
1218244245416
139a9a18b701
1450884d0ca6
152a9dd2627c
hex18437c4012

104211431442 has 40 divisors (see below), whose sum is σ = 237338868492. Its totient is φ = 34167679200.

The previous prime is 104211431411. The next prime is 104211431447. The reversal of 104211431442 is 244134112401.

104211431442 is a `hidden beast` number, since 1 + 0 + 4 + 211 + 4 + 3 + 1 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97750647801 + 6460783641 = 312651^2 + 80379^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104211431447) 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 19 ways as a sum of consecutive naturals, for example, 5262909 + ... + 5282672.

Almost surely, 2104211431442 is an apocalyptic number.

104211431442 is an abundant number, since it is smaller than the sum of its proper divisors (133127437050).

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

104211431442 is a wasteful number, since it uses less digits than its factorization.

104211431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10545656 (or 10545647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104211431442 its reverse (244134112401), we get a palindrome (348345543843).

The spelling of 104211431442 in words is "one hundred four billion, two hundred eleven million, four hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 9882 10545581 21091162 31636743 63273486 94910229 189820458 284730687 569461374 643280441 854192061 1286560882 1708384122 1929841323 3859682646 5789523969 11579047938 17368571907 34737143814 52105715721 104211431442