Search a number
-
+
10323232043432 = 23731131101310891
BaseRepresentation
bin1001011000111001000010…
…0101000011000110101000
31100112220001210100100220112
42112032100211003012220
52323113434400342212
633542232145313452
72113554212363000
oct226162045030650
940486053310815
1010323232043432
1133200703a9410
1211a8865635888
1359b62713c699
1427990b8c3000
1512d7e6e9a422
hex963909431a8

10323232043432 has 256 divisors, whose sum is σ = 25446500352000. Its totient is φ = 3888095904000.

The previous prime is 10323232043429. The next prime is 10323232043437. The reversal of 10323232043432 is 23434023232301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10323232043437) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 947862707 + ... + 947873597.

It is an arithmetic number, because the mean of its divisors is an integer number (99400392000).

Almost surely, 210323232043432 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 10323232043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723250176000).

10323232043432 is an abundant number, since it is smaller than the sum of its proper divisors (15123268308568).

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

10323232043432 is a wasteful number, since it uses less digits than its factorization.

10323232043432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 10323232043432 its reverse (23434023232301), we get a palindrome (33757255275733).

The spelling of 10323232043432 in words is "ten trillion, three hundred twenty-three billion, two hundred thirty-two million, forty-three thousand, four hundred thirty-two".