Search a number
-
+
3113424532144 = 2431471131378627
BaseRepresentation
bin101101010011100110100…
…100000011001010110000
3102000122021220112111210001
4231103212210003022300
5402002243140012034
610342142032515344
7440636363605213
oct55234644031260
912018256474701
103113424532144
11aa0439a88543
1242349b6abb54
13197796661b94
14aa994c3177a
1555ec22dca14
hex2d4e69032b0

3113424532144 has 160 divisors (see below), whose sum is σ = 6463190900736. Its totient is φ = 1450559201280.

The previous prime is 3113424532139. The next prime is 3113424532157. The reversal of 3113424532144 is 4412354243113.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360888759 + ... + 360897385.

Almost surely, 23113424532144 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 3113424532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231595450368).

3113424532144 is an abundant number, since it is smaller than the sum of its proper divisors (3349766368592).

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

3113424532144 is a wasteful number, since it uses less digits than its factorization.

3113424532144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8957 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

Adding to 3113424532144 its reverse (4412354243113), we get a palindrome (7525778775257).

The spelling of 3113424532144 in words is "three trillion, one hundred thirteen billion, four hundred twenty-four million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 47 62 94 113 124 137 188 226 248 274 376 452 496 548 752 904 1096 1457 1808 2192 2914 3503 4247 5311 5828 6439 7006 8494 8627 10622 11656 12878 14012 15481 16988 17254 21244 23312 25756 28024 30962 33976 34508 42488 51512 56048 61924 67952 69016 84976 103024 123848 138032 164641 199609 247696 267437 329282 399218 405469 479911 534874 658564 727607 798436 810938 959822 974851 1069748 1181899 1317128 1455214 1596872 1621876 1919644 1949702 2139496 2363798 2634256 2910428 3193744 3243752 3839288 3899404 4278992 4727596 5820856 6487504 7678576 7798808 9455192 11641712 12569539 15597616 18910384 22555817 25139078 30220381 36638869 45111634 45817997 50278156 55549253 60440762 73277738 90223268 91635994 100556312 111098506 120881524 133554587 146555476 180446536 183271988 201112624 222197012 241763048 267109174 293110952 360893072 366543976 444394024 483526096 534218348 586221904 733087952 888788048 1068436696 1420357907 1722026843 2136873392 2840715814 3444053686 4140192197 5681431628 6277065589 6888107372 8280384394 11362863256 12554131178 13776214744 16560768788 22725726512 25108262356 27552429488 33121537576 50216524712 66243075152 100433049424 194589033259 389178066518 778356133036 1556712266072 3113424532144