Search a number
-
+
514422336060 = 2232537791915119
BaseRepresentation
bin1110111110001011111…
…01011110101000111100
31211011210222101021222100
413133011331132220330
531412014104223220
61032153343545100
752110602465343
oct7370575365074
91734728337870
10514422336060
1118918aaa7aa6
1283846bbb190
13396820bba39
141ac80836b5a
15d5abd8cd90
hex77c5f5ea3c

514422336060 has 288 divisors, whose sum is σ = 1631689113600. Its totient is φ = 131066657280.

The previous prime is 514422336059. The next prime is 514422336061. The reversal of 514422336060 is 60633224415.

514422336060 is a `hidden beast` number, since 5 + 1 + 4 + 42 + 2 + 3 + 3 + 606 + 0 = 666.

514422336060 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (514422336059) and next prime (514422336061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514422336061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100490181 + ... + 100495299.

It is an arithmetic number, because the mean of its divisors is an integer number (5665587200).

Almost surely, 2514422336060 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 514422336060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815844556800).

514422336060 is an abundant number, since it is smaller than the sum of its proper divisors (1117266777540).

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

514422336060 is a wasteful number, since it uses less digits than its factorization.

514422336060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 514422336060 in words is "five hundred fourteen billion, four hundred twenty-two million, three hundred thirty-six thousand, sixty".