Search a number
-
+
46010301120 = 2632572282257
BaseRepresentation
bin101010110110011011…
…010111101011000000
311101202112111110122200
4222312123113223000
51223212114113440
633045320233200
73216115051410
oct526633275300
9141675443580
1046010301120
1118570685253
128b0090b800
134453316c64
1423268dc640
1512e44a6c30
hexab66d7ac0

46010301120 has 168 divisors, whose sum is σ = 180864381984. Its totient is φ = 10516635648.

The previous prime is 46010301109. The next prime is 46010301121. The reversal of 46010301120 is 2110301064.

It is a happy number.

46010301120 is a `hidden beast` number, since 4 + 601 + 0 + 30 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46010301093 and 46010301102.

It is not an unprimeable number, because it can be changed into a prime (46010301121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120969 + ... + 1161288.

Almost surely, 246010301120 is an apocalyptic number.

46010301120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46010301120 is an abundant number, since it is smaller than the sum of its proper divisors (134854080864).

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

46010301120 is a wasteful number, since it uses less digits than its factorization.

46010301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282287 (or 2282274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 46010301120 its reverse (2110301064), we get a palindrome (48120602184).

The spelling of 46010301120 in words is "forty-six billion, ten million, three hundred one thousand, one hundred twenty".