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231714215040 = 273571167149157
BaseRepresentation
bin1101011111001100111…
…1100101010010000000
3211011002120011201211110
43113303033211102000
512244022314340130
6254240435443320
722512044221230
oct3276317452200
9734076151743
10231714215040
118a2a66a7380
1238aa8756540
1318b09899aa9
14b302071cc0
15606280dab0
hex35f33e5480

231714215040 has 1024 divisors, whose sum is σ = 946847232000. Its totient is φ = 46811381760.

The previous prime is 231714215039. The next prime is 231714215041. The reversal of 231714215040 is 40512417132.

231714215040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231714215039) and next prime (231714215041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 231714214989 and 231714215007.

It is not an unprimeable number, because it can be changed into a prime (231714215041) 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 127 ways as a sum of consecutive naturals, for example, 1475886642 + ... + 1475886798.

It is an arithmetic number, because the mean of its divisors is an integer number (924655500).

Almost surely, 2231714215040 is an apocalyptic number.

231714215040 is a gapful number since it is divisible by the number (20) 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 231714215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473423616000).

231714215040 is an abundant number, since it is smaller than the sum of its proper divisors (715133016960).

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

231714215040 is a wasteful number, since it uses less digits than its factorization.

231714215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 231714215040 in words is "two hundred thirty-one billion, seven hundred fourteen million, two hundred fifteen thousand, forty".