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150031335040 = 275547428563
BaseRepresentation
bin1000101110111010010…
…0000111111010000000
3112100020221102111110121
42023232210013322000
54424231010210130
6152531244110024
713560626210026
oct2135644077200
9470227374417
10150031335040
115869a860684
12250b1235314
13111bcc00cc2
1473939ca716
153d8171dd7a
hex22ee907e80

150031335040 has 64 divisors (see below), whose sum is σ = 359325200160. Its totient is φ = 59902682112.

The previous prime is 150031335023. The next prime is 150031335053. The reversal of 150031335040 is 40533130051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 150031334996 and 150031335014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135799 + ... + 564361.

Almost surely, 2150031335040 is an apocalyptic number.

150031335040 is a gapful number since it is divisible by the number (10) 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 150031335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179662600080).

150031335040 is an abundant number, since it is smaller than the sum of its proper divisors (209293865120).

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

150031335040 is an equidigital number, since it uses as much as digits as its factorization.

150031335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429129 (or 429117 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 150031335040 its reverse (40533130051), we get a palindrome (190564465091).

The spelling of 150031335040 in words is "one hundred fifty billion, thirty-one million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 547 640 1094 2188 2735 4376 5470 8752 10940 17504 21880 35008 43760 70016 87520 175040 350080 428563 857126 1714252 2142815 3428504 4285630 6857008 8571260 13714016 17142520 27428032 34285040 54856064 68570080 137140160 234423961 274280320 468847922 937695844 1172119805 1875391688 2344239610 3750783376 4688479220 7501566752 9376958440 15003133504 18753916880 30006267008 37507833760 75015667520 150031335040