Search a number
-
+
534111001235040 = 253519712269363533
BaseRepresentation
bin111100101110001010110100…
…0011111111100111001100000
32121001010111212000101002111010
41321130111220133330321200
51030001333312304010130
65131543112344420520
7220334150343444255
oct17134255037747140
92531114760332433
10534111001235040
11145203226a52279
124baa2359777740
1319c045b3678918
1495c7178cb942c
1541b36bd6020b0
hex1e5c5687fce60

534111001235040 has 384 divisors, whose sum is σ = 1796739748070400. Its totient is φ = 132973840097280.

The previous prime is 534111001234897. The next prime is 534111001235057. The reversal of 534111001235040 is 40532100111435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 534111001234989 and 534111001235007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469041114 + ... + 1469404646.

It is an arithmetic number, because the mean of its divisors is an integer number (4679009760600).

Almost surely, 2534111001235040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534111001235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898369874035200).

534111001235040 is an abundant number, since it is smaller than the sum of its proper divisors (1262628746835360).

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

534111001235040 is a wasteful number, since it uses less digits than its factorization.

534111001235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365910 (or 365902 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 534111001235040 its reverse (40532100111435), we get a palindrome (574643101346475).

The spelling of 534111001235040 in words is "five hundred thirty-four trillion, one hundred eleven billion, one million, two hundred thirty-five thousand, forty".