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314201042331040 = 2558323659717043
BaseRepresentation
bin100011101110000111010000…
…1100001000010010110100000
31112012111022210212111010111101
41013130032201201002112200
5312140332213314043130
63032125544410124144
7123116163506562514
oct10734164141022640
91465438725433441
10314201042331040
1191128a06212017
122b2a6325420654
13106420535b6957
1457835a9592144
15264d1544751ca
hex11dc3a18425a0

314201042331040 has 48 divisors (see below), whose sum is σ = 751243335581088. Its totient is φ = 124166195036416.

The previous prime is 314201042331013. The next prime is 314201042331083. The reversal of 314201042331040 is 40133240102413.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11829845242 + ... + 11829871801.

It is an arithmetic number, because the mean of its divisors is an integer number (15650902824606).

Almost surely, 2314201042331040 is an apocalyptic number.

It is an amenable number.

314201042331040 is an abundant number, since it is smaller than the sum of its proper divisors (437042293250048).

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

314201042331040 is a wasteful number, since it uses less digits than its factorization.

314201042331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23659717141 (or 23659717133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314201042331040 its reverse (40133240102413), we get a palindrome (354334282433453).

The spelling of 314201042331040 in words is "three hundred fourteen trillion, two hundred one billion, forty-two million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 23659717043 47319434086 94638868172 118298585215 189277736344 236597170430 378555472688 473194340860 757110945376 946388681720 1892777363440 1963756514569 3785554726880 3927513029138 7855026058276 9818782572845 15710052116552 19637565145690 31420104233104 39275130291380 62840208466208 78550260582760 157100521165520 314201042331040