Search a number
-
+
314002034232000 = 263531710111367433
BaseRepresentation
bin100011101100101010100101…
…1101101011000101011000000
31112011210022010122122020022120
41013121111023231120223000
5312124102131230411000
63031454313152004240
7123065620061625162
oct10731251355305300
91464708118566276
10314002034232000
1191061573342784
122b273845b30680
131062935992a42a
145777acb110932
152647da81326a0
hex11d954bb58ac0

314002034232000 has 896 divisors, whose sum is σ = 1118522592016128. Its totient is φ = 77336412160000.

The previous prime is 314002034231971. The next prime is 314002034232001. The reversal of 314002034232000 is 232430200413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (314002034232001) 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, 4656470284 + ... + 4656537716.

Almost surely, 2314002034232000 is an apocalyptic number.

314002034232000 is a gapful number since it is divisible by the number (30) 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 314002034232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559261296008064).

314002034232000 is an abundant number, since it is smaller than the sum of its proper divisors (804520557784128).

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

314002034232000 is a wasteful number, since it uses less digits than its factorization.

314002034232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67694 (or 67674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 314002034232000 its reverse (232430200413), we get a palindrome (314234464432413).

The spelling of 314002034232000 in words is "three hundred fourteen trillion, two billion, thirty-four million, two hundred thirty-two thousand".