Search a number
-
+
36135544014040 = 2351753140505903
BaseRepresentation
bin10000011011101011101100…
…10000111100010011011000
311201221112011012012122112111
420031311312100330103120
514214021043231422130
6204504234552522104
710416464316123112
oct1015656620742330
9151845135178474
1036135544014040
1110571aa85a9419
1240773886b0334
13172174b128143
148ccd80a783b2
15429e7d68b02a
hex20dd7643c4d8

36135544014040 has 32 divisors (see below), whose sum is σ = 86087619564480. Its totient is φ = 13603969510912.

The previous prime is 36135544014013. The next prime is 36135544014043. The reversal of 36135544014040 is 4041044553163.

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 = 36135544013984 and 36135544014002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36135544014043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26570252272 + ... + 26570253631.

It is an arithmetic number, because the mean of its divisors is an integer number (2690238111390).

Almost surely, 236135544014040 is an apocalyptic number.

It is an amenable number.

36135544014040 is an abundant number, since it is smaller than the sum of its proper divisors (49952075550440).

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

36135544014040 is a wasteful number, since it uses less digits than its factorization.

36135544014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53140505931 (or 53140505927 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 36135544014040 in words is "thirty-six trillion, one hundred thirty-five billion, five hundred forty-four million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 53140505903 106281011806 212562023612 265702529515 425124047224 531405059030 903388600351 1062810118060 1806777200702 2125620236120 3613554401404 4516943001755 7227108802808 9033886003510 18067772007020 36135544014040