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135445340240 = 2457241866679
BaseRepresentation
bin111111000100100101…
…0111110000001010000
3110221121102022012010222
41332021022332001100
54204343001341430
6142120035412212
712533314252610
oct1761112760120
9427542265128
10135445340240
11524953aa921
1222300454068
13ca0708b152
1467ac774a40
1537cae379e5
hex1f892be050

135445340240 has 40 divisors (see below), whose sum is σ = 359897619840. Its totient is φ = 46438402176.

The previous prime is 135445340231. The next prime is 135445340249. The reversal of 135445340240 is 42043544531.

It is an interprime number because it is at equal distance from previous prime (135445340231) and next prime (135445340249).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135445340240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135445340249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120932780 + ... + 120933899.

It is an arithmetic number, because the mean of its divisors is an integer number (8997440496).

Almost surely, 2135445340240 is an apocalyptic number.

135445340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135445340240 is an abundant number, since it is smaller than the sum of its proper divisors (224452279600).

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

135445340240 is a wasteful number, since it uses less digits than its factorization.

135445340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241866699 (or 241866693 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 135445340240 its reverse (42043544531), we get a palindrome (177488884771).

The spelling of 135445340240 in words is "one hundred thirty-five billion, four hundred forty-five million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 241866679 483733358 967466716 1209333395 1693066753 1934933432 2418666790 3386133506 3869866864 4837333580 6772267012 8465333765 9674667160 13544534024 16930667530 19349334320 27089068048 33861335060 67722670120 135445340240