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15135135131400 = 2335252148416939
BaseRepresentation
bin1101110000111110110001…
…0110100110011100001000
31222120220102120221022212020
43130033230112212130020
53440433224043201100
652104552440244440
73121322520643404
oct334175426463410
958526376838766
1015135135131400
114905858233959
12184535a170720
1385a310c471ab
143a4789d7a104
151b3a762235a0
hexdc3ec5a6708

15135135131400 has 96 divisors (see below), whose sum is σ = 47008975384800. Its totient is φ = 4028289241600.

The previous prime is 15135135131377. The next prime is 15135135131483. The reversal of 15135135131400 is 413153153151.

15135135131400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23895870 + ... + 24521069.

It is an arithmetic number, because the mean of its divisors is an integer number (489676826925).

Almost surely, 215135135131400 is an apocalyptic number.

15135135131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15135135131400 is an abundant number, since it is smaller than the sum of its proper divisors (31873840253400).

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

15135135131400 is a wasteful number, since it uses less digits than its factorization.

15135135131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48417479 (or 48417470 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

Adding to 15135135131400 its reverse (413153153151), we get a palindrome (15548288284551).

The spelling of 15135135131400 in words is "fifteen trillion, one hundred thirty-five billion, one hundred thirty-five million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 521 600 1042 1563 2084 2605 3126 4168 5210 6252 7815 10420 12504 13025 15630 20840 26050 31260 39075 52100 62520 78150 104200 156300 312600 48416939 96833878 145250817 193667756 242084695 290501634 387335512 484169390 581003268 726254085 968338780 1162006536 1210423475 1452508170 1936677560 2420846950 2905016340 3631270425 4841693900 5810032680 7262540850 9683387800 14525081700 25225225219 29050163400 50450450438 75675675657 100900900876 126126126095 151351351314 201801801752 252252252190 302702702628 378378378285 504504504380 605405405256 630630630475 756756756570 1009009008760 1261261260950 1513513513140 1891891891425 2522522521900 3027027026280 3783783782850 5045045043800 7567567565700 15135135131400