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134021405440 = 285138054171
BaseRepresentation
bin111110011010001001…
…1000101101100000000
3110210221011220210211001
41330310103011230000
54143433434433230
6141322451501344
712453114102316
oct1746423055400
9423834823731
10134021405440
11519246535aa
1221b835b7854
13c83b07c290
1466b55d20b6
153745e160ca
hex1f344c5b00

134021405440 has 72 divisors (see below), whose sum is σ = 345717278928. Its totient is φ = 49484820480.

The previous prime is 134021405431. The next prime is 134021405443. The reversal of 134021405440 is 44504120431.

It is a super-2 number, since 2×1340214054402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134021405399 and 134021405408.

It is not an unprimeable number, because it can be changed into a prime (134021405443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4010446 + ... + 4043725.

It is an arithmetic number, because the mean of its divisors is an integer number (4801628874).

Almost surely, 2134021405440 is an apocalyptic number.

134021405440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134021405440 is an abundant number, since it is smaller than the sum of its proper divisors (211695873488).

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

134021405440 is an equidigital number, since it uses as much as digits as its factorization.

134021405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8054205 (or 8054191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 134021405440 its reverse (44504120431), we get a palindrome (178525525871).

The spelling of 134021405440 in words is "one hundred thirty-four billion, twenty-one million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 8054171 16108342 32216684 40270855 64433368 80541710 104704223 128866736 161083420 209408446 257733472 322166840 418816892 515466944 523521115 644333680 837633784 1030933888 1047042230 1288667360 1675267568 2061867776 2094084460 2577334720 3350535136 4188168920 5154669440 6701070272 8376337840 10309338880 13402140544 16752675680 26804281088 33505351360 67010702720 134021405440