Search a number
-
+
7131474614000 = 2453111631988699
BaseRepresentation
bin110011111000110110100…
…0000101101011011110000
3221020202120201122101010102
41213301231000231123300
51413320230000122000
623100053150451532
71334142406021562
oct147615500553360
927222521571112
107131474614000
1122aa494558830
12972164503ba8
133c9658b74609
141a92454b7332
15c578cc453d5
hex67c6d02d6f0

7131474614000 has 160 divisors (see below), whose sum is σ = 18926951097600. Its totient is φ = 2577352608000.

The previous prime is 7131474613999. The next prime is 7131474614039. The reversal of 7131474614000 is 4164741317.

7131474614000 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

7131474614000 is strictly pandigital in base 12.

It is a congruent number.

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, 2591651 + ... + 4580349.

It is an arithmetic number, because the mean of its divisors is an integer number (118293444360).

Almost surely, 27131474614000 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 7131474614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463475548800).

7131474614000 is an abundant number, since it is smaller than the sum of its proper divisors (11795476483600).

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

7131474614000 is a wasteful number, since it uses less digits than its factorization.

7131474614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988896 (or 1988880 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 7131474614000 in words is "seven trillion, one hundred thirty-one billion, four hundred seventy-four million, six hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 163 176 200 220 250 275 326 400 440 500 550 652 815 880 1000 1100 1304 1375 1630 1793 2000 2200 2608 2750 3260 3586 4075 4400 5500 6520 7172 8150 8965 11000 13040 14344 16300 17930 20375 22000 28688 32600 35860 40750 44825 65200 71720 81500 89650 143440 163000 179300 224125 326000 358600 448250 717200 896500 1793000 1988699 3586000 3977398 7954796 9943495 15909592 19886990 21875689 31819184 39773980 43751378 49717475 79547960 87502756 99434950 109378445 159095920 175005512 198869900 218756890 248587375 324157937 350011024 397739800 437513780 497174750 546892225 648315874 795479600 875027560 994349500 1093784450 1296631748 1620789685 1750055120 1988699000 2187568900 2593263496 2734461125 3241579370 3565737307 3977398000 4375137800 5186526992 5468922250 6483158740 7131474614 8103948425 8750275600 10937844500 12966317480 14262949228 16207896850 17828686535 21875689000 25932634960 28525898456 32415793700 35657373070 40519742125 43751378000 57051796912 64831587400 71314746140 81039484250 89143432675 129663174800 142629492280 162078968500 178286865350 285258984560 324157937000 356573730700 445717163375 648315874000 713147461400 891434326750 1426294922800 1782868653500 3565737307000 7131474614000