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134045240140 = 225729191172859
BaseRepresentation
bin111110011010110111…
…0000000101101001100
3110210222211202201212201
41330311232000231030
54144011040141030
6141325102411244
712453523512250
oct1746556005514
9423884681781
10134045240140
11519370529a9
1221b8b590b24
13c842ca5c56
1466b8838260
1537480732ca
hex1f35b80b4c

134045240140 has 96 divisors (see below), whose sum is σ = 334546329600. Its totient is φ = 44141018880.

The previous prime is 134045240117. The next prime is 134045240143. The reversal of 134045240140 is 41042540431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 134045240099 and 134045240108.

It is not an unprimeable number, because it can be changed into a prime (134045240143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689031 + ... + 861889.

It is an arithmetic number, because the mean of its divisors is an integer number (3484857600).

Almost surely, 2134045240140 is an apocalyptic number.

134045240140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134045240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167273164800).

134045240140 is an abundant number, since it is smaller than the sum of its proper divisors (200501089460).

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

134045240140 is a wasteful number, since it uses less digits than its factorization.

134045240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173095 (or 173093 counting only the distinct ones).

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

Adding to 134045240140 its reverse (41042540431), we get a palindrome (175087780571).

The spelling of 134045240140 in words is "one hundred thirty-four billion, forty-five million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 191 203 290 382 406 580 764 812 955 1015 1337 1910 2030 2674 3820 4060 5348 5539 6685 11078 13370 22156 26740 27695 38773 55390 77546 110780 155092 172859 193865 345718 387730 691436 775460 864295 1210013 1728590 2420026 3457180 4840052 5012911 6050065 10025822 12100130 20051644 24200260 25064555 33016069 35090377 50129110 66032138 70180754 100258220 132064276 140361508 165080345 175451885 231112483 330160690 350903770 462224966 660321380 701807540 924449932 957466001 1155562415 1914932002 2311124830 3829864004 4622249660 4787330005 6702262007 9574660010 13404524014 19149320020 26809048028 33511310035 67022620070 134045240140