Search a number
-
+
122344011000444 = 22367152169167911
BaseRepresentation
bin11011110100010101101111…
…010100001110101001111100
3121001011222021111000101101010
4123310111233110032221330
5112013441013304003234
61112112021315315220
734525030434016332
oct3364255724165174
9531158244011333
10122344011000444
1135a89892787332
121187b1098abb10
135335cb584592c
14222d6a5c07b52
15e226ad9c36e9
hex6f456f50ea7c

122344011000444 has 24 divisors (see below), whose sum is σ = 289730095704448. Its totient is φ = 40172660328240.

The previous prime is 122344011000437. The next prime is 122344011000451. The reversal of 122344011000444 is 444000110443221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122344011000437) and next prime (122344011000451).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76084583152 + ... + 76084584759.

Almost surely, 2122344011000444 is an apocalyptic number.

It is an amenable number.

122344011000444 is an abundant number, since it is smaller than the sum of its proper divisors (167386084704004).

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

122344011000444 is a wasteful number, since it uses less digits than its factorization.

122344011000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152169167985 (or 152169167983 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 122344011000444 its reverse (444000110443221), we get a palindrome (566344121443665).

The spelling of 122344011000444 in words is "one hundred twenty-two trillion, three hundred forty-four billion, eleven million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 152169167911 304338335822 456507503733 608676671644 913015007466 1826030014932 10195334250037 20390668500074 30586002750111 40781337000148 61172005500222 122344011000444