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136443124121202 = 23410156314811767
BaseRepresentation
bin11111000001100000100011…
…111100011111111001110010
3122220002211112220202112210000
4133001200203330133321302
5120340441004233334302
61202105034512450430
740511455545124563
oct3701404374377162
9586084486675700
10136443124121202
113a525227557568
1213377712249a16
135b196ba627aa2
142599c4d5d416a
1510b92ead2231c
hex7c1823f1fe72

136443124121202 has 80 divisors (see below), whose sum is σ = 309309174389952. Its totient is φ = 44950747456800.

The previous prime is 136443124121189. The next prime is 136443124121257. The reversal of 136443124121202 is 202121421344631.

136443124121202 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 4 + 31 + 2 + 412 + 1 + 202 = 666.

It is a super-2 number, since 2×1364431241212022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1805923 + ... + 16617689.

Almost surely, 2136443124121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136443124121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154654587194976).

136443124121202 is an abundant number, since it is smaller than the sum of its proper divisors (172866050268750).

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

136443124121202 is a wasteful number, since it uses less digits than its factorization.

136443124121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14812445 (or 14812436 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 136443124121202 its reverse (202121421344631), we get a palindrome (338564545465833).

The spelling of 136443124121202 in words is "one hundred thirty-six trillion, four hundred forty-three billion, one hundred twenty-four million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 563 606 909 1126 1689 1818 2727 3378 5067 5454 8181 10134 15201 16362 30402 45603 56863 91206 113726 170589 341178 511767 1023534 1535301 3070602 4605903 9211806 14811767 29623534 44435301 88870602 133305903 266611806 399917709 799835418 1199753127 1495988467 2399506254 2991976934 4487965401 8339024821 8975930802 13463896203 16678049642 25017074463 26927792406 40391688609 50034148926 75051223389 80783377218 121175065827 150102446778 225153670167 242350131654 450307340334 675461010501 842241506921 1350922021002 1684483013842 2526724520763 5053449041526 7580173562289 15160347124578 22740520686867 45481041373734 68221562060601 136443124121202