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3134320446132 = 2232211241412157
BaseRepresentation
bin101101100111000100000…
…011101000101010110100
3102002122020011212220222100
4231213010003220222310
5402323042013234012
610355515324502100
7442306245132231
oct55470403505264
912078204786870
103134320446132
11aa92921a8a47
124275516aa930
13199746832425
14ab9b80cc788
15567e6a298dc
hex2d9c40e8ab4

3134320446132 has 36 divisors (see below), whose sum is σ = 7922922301476. Its totient is φ = 1044766001280.

The previous prime is 3134320446119. The next prime is 3134320446139. The reversal of 3134320446132 is 2316440234313.

It is a happy number.

3134320446132 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 32 + 0 + 4 + 4 + 613 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1649056632336 + 1485263813796 = 1284156^2 + 1218714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×31343204461322 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134320446139) 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 11 ways as a sum of consecutive naturals, for example, 7398598 + ... + 7810754.

It is an arithmetic number, because the mean of its divisors is an integer number (220081175041).

Almost surely, 23134320446132 is an apocalyptic number.

It is an amenable number.

3134320446132 is an abundant number, since it is smaller than the sum of its proper divisors (4788601855344).

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

3134320446132 is a wasteful number, since it uses less digits than its factorization.

3134320446132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623408 (or 623403 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 3134320446132 in words is "three trillion, one hundred thirty-four billion, three hundred twenty million, four hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 211241 412157 422482 633723 824314 844964 1236471 1267446 1648628 1901169 2472942 2534892 3709413 3802338 4945884 7418826 7604676 14837652 87064456837 174128913674 261193370511 348257827348 522386741022 783580111533 1044773482044 1567160223066 3134320446132