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320114314140 = 223537144195637
BaseRepresentation
bin1001010100010000100…
…11001100101110011100
31010121021022120001111220
410222020103030232130
520221043231023030
6403020344413340
732061505526535
oct4521023145634
91117238501456
10320114314140
1111383a204215
1252059777250
13242570bc43a
14116ca6a368c
1584d84aaa10
hex4a884ccb9c

320114314140 has 48 divisors (see below), whose sum is σ = 920544952992. Its totient is φ = 83056686336.

The previous prime is 320114314139. The next prime is 320114314147. The reversal of 320114314140 is 41413411023.

It is a self number, because there is not a number n which added to its sum of digits gives 320114314140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320114314147) 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 15 ways as a sum of consecutive naturals, for example, 72095599 + ... + 72100038.

It is an arithmetic number, because the mean of its divisors is an integer number (19178019854).

Almost surely, 2320114314140 is an apocalyptic number.

320114314140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320114314140 is an abundant number, since it is smaller than the sum of its proper divisors (600430638852).

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

320114314140 is a wasteful number, since it uses less digits than its factorization.

320114314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144195686 (or 144195684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 320114314140 its reverse (41413411023), we get a palindrome (361527725163).

The spelling of 320114314140 in words is "three hundred twenty billion, one hundred fourteen million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 144195637 288391274 432586911 576782548 720978185 865173822 1441956370 1730347644 2162934555 2883912740 4325869110 5335238569 8651738220 10670477138 16005715707 21340954276 26676192845 32011431414 53352385690 64022862828 80028578535 106704771380 160057157070 320114314140