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13413143341000 = 2353131031780257
BaseRepresentation
bin1100001100101111110110…
…1001001110011111001000
31202111021200000120210121201
43003023331221032133020
53224230104143403000
644305525112113544
72553032124144004
oct303137551163710
952437600523551
1013413143341000
114301533810787
1216076826958b4
13763b142a53c0
143452b19c7704
15183d8ed9896a
hexc32fda4e7c8

13413143341000 has 64 divisors (see below), whose sum is σ = 33801121252080. Its totient is φ = 4952545228800.

The previous prime is 13413143340997. The next prime is 13413143341007. The reversal of 13413143341000 is 14334131431.

It can be written as a sum of positive squares in 8 ways, for example, as 388709853156 + 13024433487844 = 623466^2 + 3608938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13413143341000.

It is not an unprimeable number, because it can be changed into a prime (13413143341007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515877129 + ... + 515903128.

Almost surely, 213413143341000 is an apocalyptic number.

13413143341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13413143341000 is an abundant number, since it is smaller than the sum of its proper divisors (20387977911080).

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

13413143341000 is a wasteful number, since it uses less digits than its factorization.

13413143341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031780291 (or 1031780277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13413143341000 its reverse (14334131431), we get a palindrome (13427477472431).

The spelling of 13413143341000 in words is "thirteen trillion, four hundred thirteen billion, one hundred forty-three million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 1031780257 2063560514 4127121028 5158901285 8254242056 10317802570 13413143341 20635605140 25794506425 26826286682 41271210280 51589012850 53652573364 67065716705 103178025700 107305146728 128972532125 134131433410 206356051400 257945064250 268262866820 335328583525 515890128500 536525733640 670657167050 1031780257000 1341314334100 1676642917625 2682628668200 3353285835250 6706571670500 13413143341000