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1034012433312 = 253216012242549
BaseRepresentation
bin11110000101111111111…
…00011001101110100000
310122211222002211001121100
433002333330121232200
5113420124140331222
62111004014554400
7134463535444125
oct17027774315640
93584862731540
101034012433312
11369582075511
12148494808a00
1376678a16621
143809172074c
151bd6c76e4ac
hexf0bff19ba0

1034012433312 has 72 divisors (see below), whose sum is σ = 2942310816900. Its totient is φ = 344455372800.

The previous prime is 1034012433301. The next prime is 1034012433319. The reversal of 1034012433312 is 2133342104301.

It is a happy number.

1034012433312 is a `hidden beast` number, since 1 + 0 + 3 + 401 + 243 + 3 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 688508295696 + 345504137616 = 829764^2 + 587796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1034012433319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660187 + ... + 1582362.

Almost surely, 21034012433312 is an apocalyptic number.

1034012433312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034012433312 is an abundant number, since it is smaller than the sum of its proper divisors (1908298383588).

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

1034012433312 is a wasteful number, since it uses less digits than its factorization.

1034012433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244166 (or 2244155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1034012433312 its reverse (2133342104301), we get a palindrome (3167354537613).

The spelling of 1034012433312 in words is "one trillion, thirty-four billion, twelve million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1601 3202 4803 6404 9606 12808 14409 19212 25616 28818 38424 51232 57636 76848 115272 153696 230544 461088 2242549 4485098 6727647 8970196 13455294 17940392 20182941 26910588 35880784 40365882 53821176 71761568 80731764 107642352 161463528 215284704 322927056 645854112 3590320949 7180641898 10770962847 14361283796 21541925694 28722567592 32312888541 43083851388 57445135184 64625777082 86167702776 114890270368 129251554164 172335405552 258503108328 344670811104 517006216656 1034012433312