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134041455540 = 223257091050317
BaseRepresentation
bin111110011010101111…
…1100100101110110100
3110210222120122110101100
41330311133210232310
54144004103034130
6141324445330100
712453446400366
oct1746537445664
9423876573340
10134041455540
11519349a8533
1221b8a266930
13c84227c445
1466b8130d36
153747a76c60
hex1f357e4bb4

134041455540 has 72 divisors (see below), whose sum is σ = 407166275880. Its totient is φ = 35693938944.

The previous prime is 134041455539. The next prime is 134041455599. The reversal of 134041455540 is 45554140431.

134041455540 is a `hidden beast` number, since 1 + 34 + 0 + 41 + 45 + 5 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1373591844 + 132667863696 = 37062^2 + 364236^2 .

It is a super-2 number, since 2×1340414555402 (a number of 23 digits) contains 22 as substring.

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 = 134041455495 and 134041455504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397539 + ... + 652778.

It is an arithmetic number, because the mean of its divisors is an integer number (5655087165).

Almost surely, 2134041455540 is an apocalyptic number.

134041455540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134041455540 is an abundant number, since it is smaller than the sum of its proper divisors (273124820340).

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

134041455540 is a wasteful number, since it uses less digits than its factorization.

134041455540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051041 (or 1051036 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 134041455540 its reverse (45554140431), we get a palindrome (179595595971).

It can be divided in two parts, 13404 and 1455540, that added together give a square (1468944 = 12122).

The spelling of 134041455540 in words is "one hundred thirty-four billion, forty-one million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 709 1418 2127 2836 3545 4254 6381 7090 8508 10635 12762 14180 21270 25524 31905 42540 63810 127620 1050317 2100634 3150951 4201268 5251585 6301902 9452853 10503170 12603804 15754755 18905706 21006340 31509510 37811412 47264265 63019020 94528530 189057060 744674753 1489349506 2234024259 2978699012 3723373765 4468048518 6702072777 7446747530 8936097036 11170121295 13404145554 14893495060 22340242590 26808291108 33510363885 44680485180 67020727770 134041455540