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3013441410132 = 223437769326881
BaseRepresentation
bin101011110110011111000…
…110101101010001010100
3101200002012220122122210000
4223312133012231101110
5343333012000111012
610224204511331300
7430466613233526
oct53663706552124
911602186578700
103013441410132
11a61aa213009a
12408037520b30
1318b2214b181a
14a5bcc125a16
15535be7d8ddc
hex2bd9f1ad454

3013441410132 has 120 divisors (see below), whose sum is σ = 8101188520040. Its totient is φ = 976058449920.

The previous prime is 3013441410103. The next prime is 3013441410137. The reversal of 3013441410132 is 2310141443103.

3013441410132 is a `hidden beast` number, since 301 + 344 + 1 + 4 + 1 + 0 + 13 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1390125889296 + 1623315520836 = 1179036^2 + 1274094^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3013441410096 and 3013441410105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013441410137) 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 39 ways as a sum of consecutive naturals, for example, 9055332 + ... + 9382212.

Almost surely, 23013441410132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013441410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050594260020).

3013441410132 is an abundant number, since it is smaller than the sum of its proper divisors (5087747109908).

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

3013441410132 is a wasteful number, since it uses less digits than its factorization.

3013441410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327703 (or 327692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3013441410132 its reverse (2310141443103), we get a palindrome (5323582853235).

The spelling of 3013441410132 in words is "three trillion, thirteen billion, four hundred forty-one million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 769 999 1332 1538 1998 2307 2997 3076 3996 4614 5994 6921 9228 11988 13842 20763 27684 28453 41526 56906 62289 83052 85359 113812 124578 170718 249156 256077 326881 341436 512154 653762 768231 980643 1024308 1307524 1536462 1961286 2304693 2941929 3072924 3922572 4609386 5883858 8825787 9218772 11767716 12094597 17651574 24189194 26477361 35303148 36283791 48378388 52954722 72567582 105909444 108851373 145135164 217702746 251371489 326554119 435405492 502742978 653108238 754114467 979662357 1005485956 1306216476 1508228934 1959324714 2262343401 3016457868 3918649428 4524686802 6787030203 9049373604 9300745093 13574060406 18601490186 20361090609 27148120812 27902235279 37202980372 40722181218 55804470558 81444362436 83706705837 111608941116 167413411674 251120117511 334826823348 502240235022 753360352533 1004480470044 1506720705066 3013441410132