Search a number
-
+
155461439439072 = 253413269101316931
BaseRepresentation
bin100011010110010000101111…
…110111111100000011100000
3202101102222011000022011210000
4203112100233313330003200
5130334040011444022242
61310345555505140000
744513501252060604
oct4326205767740340
9671388130264700
10155461439439072
114559790a768048
121552957562a600
136898c48ca5590
142a56533a75504
1512e8d97332a4c
hex8d642fdfc0e0

155461439439072 has 480 divisors, whose sum is σ = 494725087977120. Its totient is φ = 47606609571840.

The previous prime is 155461439439043. The next prime is 155461439439077. The reversal of 155461439439072 is 270934934164551.

155461439439072 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 6 + 1 + 439 + 43 + 90 + 72 = 666.

155461439439072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155461439439077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9182050447 + ... + 9182067377.

It is an arithmetic number, because the mean of its divisors is an integer number (1030677266619).

Almost surely, 2155461439439072 is an apocalyptic number.

155461439439072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155461439439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247362543988560).

155461439439072 is an abundant number, since it is smaller than the sum of its proper divisors (339263648538048).

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

155461439439072 is a wasteful number, since it uses less digits than its factorization.

155461439439072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18248 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 155461439439072 in words is "one hundred fifty-five trillion, four hundred sixty-one billion, four hundred thirty-nine million, four hundred thirty-nine thousand, seventy-two".