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3434021453120 = 26512978273953
BaseRepresentation
bin110001111110001011101…
…000001111110101000000
3110011021210212012112102012
4301332023220033311000
5422230333442444440
611145322341312052
7503046152511056
oct61761350176500
913137725175365
103434021453120
1111043a6649385
12475652a05628
131bba9972669b
14bc2c96401d6
155e4d7d27e65
hex31f8ba0fd40

3434021453120 has 56 divisors (see below), whose sum is σ = 8183569326504. Its totient is φ = 1372549349376.

The previous prime is 3434021453039. The next prime is 3434021453129. The reversal of 3434021453120 is 213541204343.

3434021453120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 865361341504 + 2568660111616 = 930248^2 + 1602704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434021453129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3721937 + ... + 4552016.

Almost surely, 23434021453120 is an apocalyptic number.

It is an amenable number.

3434021453120 is an abundant number, since it is smaller than the sum of its proper divisors (4749547873384).

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

3434021453120 is a wasteful number, since it uses less digits than its factorization.

3434021453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275267 (or 8275257 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 3434021453120 its reverse (213541204343), we get a palindrome (3647562657463).

The spelling of 3434021453120 in words is "three trillion, four hundred thirty-four billion, twenty-one million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1297 2594 5188 6485 10376 12970 20752 25940 41504 51880 83008 103760 207520 415040 8273953 16547906 33095812 41369765 66191624 82739530 132383248 165479060 264766496 330958120 529532992 661916240 1323832480 2647664960 10731317041 21462634082 42925268164 53656585205 85850536328 107313170410 171701072656 214626340820 343402145312 429252681640 686804290624 858505363280 1717010726560 3434021453120