Search a number
-
+
402432103112 = 231326110134817
BaseRepresentation
bin1011101101100101101…
…00101001001011001000
31102110202012000000020212
411312302310221023020
523043140104244422
6504512540340252
741034433302434
oct5666264511310
91373665000225
10402432103112
11145741481476
1265bb1844688
132bc45487300
14156991bb9c4
15a7051b19e2
hex5db2d292c8

402432103112 has 96 divisors (see below), whose sum is σ = 831455075880. Its totient is φ = 182474772480.

The previous prime is 402432103111. The next prime is 402432103127. The reversal of 402432103112 is 211301234204.

It can be written as a sum of positive squares in 12 ways, for example, as 250726527076 + 151705576036 = 500726^2 + 389494^2 .

It is not an unprimeable number, because it can be changed into a prime (402432103111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83541728 + ... + 83546544.

Almost surely, 2402432103112 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 402432103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415727537940).

402432103112 is an abundant number, since it is smaller than the sum of its proper divisors (429022972768).

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

402432103112 is a wasteful number, since it uses less digits than its factorization.

402432103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 402432103112 its reverse (211301234204), we get a palindrome (613733337316).

The spelling of 402432103112 in words is "four hundred two billion, four hundred thirty-two million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 61 104 122 169 244 338 488 676 793 1013 1352 1586 2026 3172 4052 4817 6344 8104 9634 10309 13169 19268 20618 26338 38536 41236 52676 61793 62621 82472 105352 123586 125242 171197 247172 250484 293837 342394 494344 500968 587674 684788 803309 814073 1175348 1369576 1606618 1628146 2350696 3213236 3256292 3819881 4879621 6426472 6512584 7639762 9759242 10443017 15279524 19518484 20886034 30559048 39036968 41772068 49658453 63435073 83544136 99316906 126870146 198633812 253740292 297656881 397267624 507480584 595313762 824655949 1190627524 1649311898 2381255048 3298623796 3869539453 6597247592 7739078906 15478157812 30956315624 50304012889 100608025778 201216051556 402432103112