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314235320010 = 235293675211889
BaseRepresentation
bin1001001001010011110…
…00100111011011001010
31010001002121012012200120
410210221320213123022
520122023220220020
6400205133244110
731463021102133
oct4445170473312
91101077165616
10314235320010
111112a2711987
1250a98933636
132382b1103a1
14112cd992c8a
1582922c6740
hex4929e276ca

314235320010 has 128 divisors (see below), whose sum is σ = 784212710400. Its totient is φ = 80488611840.

The previous prime is 314235319963. The next prime is 314235320011. The reversal of 314235320010 is 10023532413.

It is not an unprimeable number, because it can be changed into a prime (314235320011) 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 63 ways as a sum of consecutive naturals, for example, 166349146 + ... + 166351034.

It is an arithmetic number, because the mean of its divisors is an integer number (6126661800).

Almost surely, 2314235320010 is an apocalyptic number.

314235320010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314235320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392106355200).

314235320010 is an abundant number, since it is smaller than the sum of its proper divisors (469977390390).

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

314235320010 is a wasteful number, since it uses less digits than its factorization.

314235320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 314235320010 its reverse (10023532413), we get a palindrome (324258852423).

The spelling of 314235320010 in words is "three hundred fourteen billion, two hundred thirty-five million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 367 435 521 734 870 1042 1101 1563 1835 1889 2202 2605 3126 3670 3778 5210 5505 5667 7815 9445 10643 11010 11334 15109 15630 18890 21286 28335 30218 31929 45327 53215 54781 56670 63858 75545 90654 106430 109562 151090 159645 164343 191207 226635 273905 319290 328686 382414 453270 547810 573621 693263 821715 956035 984169 1147242 1386526 1643430 1912070 1968338 2079789 2868105 2952507 3466315 4159578 4920845 5545003 5736210 5905014 6932630 9841690 10398945 11090006 14762535 16635009 20104627 20797890 27725015 28540901 29525070 33270018 40209254 55450030 57081802 60313881 83175045 85622703 100523135 120627762 142704505 166350090 171245406 201046270 285409010 301569405 361190023 428113515 603138810 722380046 856227030 1083570069 1805950115 2167140138 3611900230 5417850345 10474510667 10835700690 20949021334 31423532001 52372553335 62847064002 104745106670 157117660005 314235320010