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136244730640 = 24517293454481
BaseRepresentation
bin111111011100011010…
…0011001101100010000
3111000200010111102121211
41332320310121230100
54213012122340030
6142331233225504
712562162050064
oct1767064315420
9430603442554
10136244730640
1152865664747
12224a4102294
13cb03889715
1468469c1aa4
1538261de12a
hex1fb8d19b10

136244730640 has 80 divisors (see below), whose sum is σ = 346968172080. Its totient is φ = 49523425280.

The previous prime is 136244730617. The next prime is 136244730649. The reversal of 136244730640 is 46037442631.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22573259536 + 113671471104 = 150244^2 + 337152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 136244730593 and 136244730602.

It is not an unprimeable number, because it can be changed into a prime (136244730649) 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 15 ways as a sum of consecutive naturals, for example, 1687801 + ... + 1766680.

It is an arithmetic number, because the mean of its divisors is an integer number (4337102151).

Almost surely, 2136244730640 is an apocalyptic number.

136244730640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136244730640 is an abundant number, since it is smaller than the sum of its proper divisors (210723441440).

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

136244730640 is a wasteful number, since it uses less digits than its factorization.

136244730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454540 (or 3454534 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 136244730640 in words is "one hundred thirty-six billion, two hundred forty-four million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1160 1360 1972 2320 2465 3944 4930 7888 9860 19720 39440 3454481 6908962 13817924 17272405 27635848 34544810 55271696 58726177 69089620 100179949 117452354 138179240 200359898 234904708 276358480 293630885 400719796 469809416 500899745 587261770 801439592 939618832 1001799490 1174523540 1602879184 1703059133 2003598980 2349047080 3406118266 4007197960 4698094160 6812236532 8014395920 8515295665 13624473064 17030591330 27248946128 34061182660 68122365320 136244730640