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152441421132 = 22371113109173673
BaseRepresentation
bin1000110111111000110…
…1110111110101001100
3112120110220102120001110
42031332031313311030
54444200000434012
6154010340412020
714004432462060
oct2157615676514
9476426376043
10152441421132
1159717231a70
12256643a7010
13114b530b750
147541b13aa0
153e730d873c
hex237e377d4c

152441421132 has 384 divisors, whose sum is σ = 485466347520. Its totient is φ = 35951247360.

The previous prime is 152441421131. The next prime is 152441421179. The reversal of 152441421132 is 231124144251.

It is a super-2 number, since 2×1524414211322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152441421132.

It is not an unprimeable number, because it can be changed into a prime (152441421131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226509948 + ... + 226510620.

It is an arithmetic number, because the mean of its divisors is an integer number (1264235280).

Almost surely, 2152441421132 is an apocalyptic number.

152441421132 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 152441421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242733173760).

152441421132 is an abundant number, since it is smaller than the sum of its proper divisors (333024926388).

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

152441421132 is a wasteful number, since it uses less digits than its factorization.

152441421132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 152441421132 its reverse (231124144251), we get a palindrome (383565565383).

The spelling of 152441421132 in words is "one hundred fifty-two billion, four hundred forty-one million, four hundred twenty-one thousand, one hundred thirty-two".