Search a number
-
+
3230264840040 = 2334572914393413
BaseRepresentation
bin101111000000011010110…
…010011100111101101000
3102102210212201012010120000
4233000122302130331220
5410411040244340130
610511544014103000
7452243655050250
oct57003262347550
912383781163500
103230264840040
111035a47320177
124420691aaa60
131a57c7051444
14b24ba682960
155905eba8260
hex2f01ac9cf68

3230264840040 has 640 divisors, whose sum is σ = 12848875776000. Its totient is φ = 712181901312.

The previous prime is 3230264840029. The next prime is 3230264840081. The reversal of 3230264840040 is 400484620323.

3230264840040 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 2 + 648 + 4 + 0 + 0 + 4 + 0 = 666.

3230264840040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32302648400402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3230264839977 and 3230264840004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 946457374 + ... + 946460786.

It is an arithmetic number, because the mean of its divisors is an integer number (20076368400).

Almost surely, 23230264840040 is an apocalyptic number.

3230264840040 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 3230264840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424437888000).

3230264840040 is an abundant number, since it is smaller than the sum of its proper divisors (9618610935960).

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

3230264840040 is a wasteful number, since it uses less digits than its factorization.

3230264840040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 3230264840040 in words is "three trillion, two hundred thirty billion, two hundred sixty-four million, eight hundred forty thousand, forty".