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4132254340000 = 2554495741681
BaseRepresentation
bin111100001000011101100…
…011010101001110100000
3112122001001220120021200001
4330020131203111032200
51020200324102340000
612442155331305344
7604355054231233
oct74103543251640
915561056507601
104132254340000
11135352a935806
12568a3774b254
1323c892a49557
14104005d8d41a
1572751bc146a
hex3c21d8d53a0

4132254340000 has 120 divisors (see below), whose sum is σ = 10168260293268. Its totient is φ = 1652528640000.

The previous prime is 4132254339991. The next prime is 4132254340021. The reversal of 4132254340000 is 434522314.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 40550682384 + 4091703657616 = 201372^2 + 2022796^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 99119160 + ... + 99160840.

Almost surely, 24132254340000 is an apocalyptic number.

4132254340000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132254340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084130146634).

4132254340000 is an abundant number, since it is smaller than the sum of its proper divisors (6036005953268).

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

4132254340000 is an equidigital number, since it uses as much as digits as its factorization.

4132254340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46668 (or 46645 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 4132254340000 its reverse (434522314), we get a palindrome (4132688862314).

The spelling of 4132254340000 in words is "four trillion, one hundred thirty-two billion, two hundred fifty-four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4957 5000 9914 10000 19828 20000 24785 39656 41681 49570 79312 83362 99140 123925 158624 166724 198280 208405 247850 333448 396560 416810 495700 619625 666896 793120 833620 991400 1042025 1239250 1333792 1667240 1982800 2084050 2478500 3098125 3334480 3965600 4168100 4957000 5210125 6196250 6668960 8336200 9914000 10420250 12392500 16672400 19828000 20840500 24785000 26050625 33344800 41681000 49570000 52101250 83362000 99140000 104202500 166724000 206612717 208405000 413225434 416810000 826450868 833620000 1033063585 1652901736 2066127170 3305803472 4132254340 5165317925 6611606944 8264508680 10330635850 16529017360 20661271700 25826589625 33058034720 41322543400 51653179250 82645086800 103306358500 129132948125 165290173600 206612717000 258265896250 413225434000 516531792500 826450868000 1033063585000 2066127170000 4132254340000