Search a number
-
+
1351104533640 = 2332532749114601
BaseRepresentation
bin10011101010010100000…
…110110001010010001000
311210011102210112202011100
4103222110012301102020
5134114030230034030
62512404443101400
7166420426022001
oct23522406612210
94704383482140
101351104533640
11481000316764
12199a2a211860
139a540944564
14495728781a8
152522a749360
hex13a941b1488

1351104533640 has 96 divisors (see below), whose sum is σ = 4391262135000. Its totient is φ = 360280396800.

The previous prime is 1351104533629. The next prime is 1351104533683. The reversal of 1351104533640 is 463354011531.

1351104533640 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 0 + 4 + 5 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 953001583524 + 398102950116 = 976218^2 + 630954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1351104533595 and 1351104533604.

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, 11732340 + ... + 11846940.

Almost surely, 21351104533640 is an apocalyptic number.

1351104533640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351104533640 is an abundant number, since it is smaller than the sum of its proper divisors (3040157601360).

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

1351104533640 is a wasteful number, since it uses less digits than its factorization.

1351104533640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147367 (or 147360 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1351104533640 in words is "one trillion, three hundred fifty-one billion, one hundred four million, five hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 32749 65498 98247 114601 130996 163745 196494 229202 261992 294741 327490 343803 392988 458404 491235 573005 589482 654980 687606 785976 916808 982470 1031409 1146010 1178964 1309960 1375212 1473705 1719015 1964940 2062818 2292020 2357928 2750424 2947410 3438030 3929880 4125636 4584040 5157045 5894820 6876060 8251272 10314090 11789640 13752120 20628180 41256360 3753068149 7506136298 11259204447 15012272596 18765340745 22518408894 30024545192 33777613341 37530681490 45036817788 56296022235 67555226682 75061362980 90073635576 112592044470 135110453364 150122725960 168888066705 225184088940 270220906728 337776133410 450368177880 675552266820 1351104533640