Search a number
-
+
152431023440 = 2454146472873
BaseRepresentation
bin1000110111110110011…
…0001101010101010000
3112120110011212022002202
42031331212031111100
54444134320222230
6154005325502332
714004245215103
oct2157546152520
9476404768082
10152431023440
1159711380033
1225660a119a8
13114b310ab77
1475405a873a
153e72232a45
hex237d98d550

152431023440 has 40 divisors (see below), whose sum is σ = 363046091688. Its totient is φ = 59485276160.

The previous prime is 152431023421. The next prime is 152431023443. The reversal of 152431023440 is 44320134251.

152431023440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9731427904 + 142699595536 = 98648^2 + 377756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152431023443) 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 7 ways as a sum of consecutive naturals, for example, 23233157 + ... + 23239716.

Almost surely, 2152431023440 is an apocalyptic number.

152431023440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152431023440 is an abundant number, since it is smaller than the sum of its proper divisors (210615068248).

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

152431023440 is a wasteful number, since it uses less digits than its factorization.

152431023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46472927 (or 46472921 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 152431023440 its reverse (44320134251), we get a palindrome (196751157691).

The spelling of 152431023440 in words is "one hundred fifty-two billion, four hundred thirty-one million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 46472873 92945746 185891492 232364365 371782984 464728730 743565968 929457460 1858914920 1905387793 3717829840 3810775586 7621551172 9526938965 15243102344 19053877930 30486204688 38107755860 76215511720 152431023440