Search a number
-
+
33130234120440 = 2335276085284337
BaseRepresentation
bin1111000100001101110111…
…10101100000100011111000
311100022012220222102211102110
413202012323311200203320
513320301204413323230
6154243452555532320
76656403041404452
oct742067365404370
9140265828384373
1033130234120440
11a6134a9504026
123870a4045a0a0
1315642244b6582
148277248932d2
153c6bd7bca4b0
hex1e21bbd608f8

33130234120440 has 32 divisors (see below), whose sum is σ = 99390702361680. Its totient is φ = 8834729098752.

The previous prime is 33130234120439. The next prime is 33130234120441. The reversal of 33130234120440 is 4402143203133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33130234120439) and next prime (33130234120441).

It is a super-2 number, since 2×331302341204402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33130234120398 and 33130234120407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130234120441) 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 7 ways as a sum of consecutive naturals, for example, 138042642049 + ... + 138042642288.

Almost surely, 233130234120440 is an apocalyptic number.

33130234120440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33130234120440 is an abundant number, since it is smaller than the sum of its proper divisors (66260468241240).

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

33130234120440 is a wasteful number, since it uses less digits than its factorization.

33130234120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276085284351 (or 276085284347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 33130234120440 its reverse (4402143203133), we get a palindrome (37532377323573).

The spelling of 33130234120440 in words is "thirty-three trillion, one hundred thirty billion, two hundred thirty-four million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 276085284337 552170568674 828255853011 1104341137348 1380426421685 1656511706022 2208682274696 2760852843370 3313023412044 4141279265055 5521705686740 6626046824088 8282558530110 11043411373480 16565117060220 33130234120440