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314121020432 = 24149541243553
BaseRepresentation
bin1001001001000110001…
…00100110010000010000
31010000210122010012010212
410210203010212100100
520121304440123212
6400145531343252
731460132422202
oct4444304462020
91100718105125
10314121020432
11111244143a1a
1250a665b1b28
1323810530cbb
14112bc71c772
158287249e22
hex4923126410

314121020432 has 40 divisors (see below), whose sum is σ = 613829146200. Its totient is φ = 155717406720.

The previous prime is 314121020401. The next prime is 314121020443. The reversal of 314121020432 is 234020121413.

It can be written as a sum of positive squares in 4 ways, for example, as 2149620496 + 311971399936 = 46364^2 + 558544^2 .

It is a super-2 number, since 2×3141210204322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314121020398 and 314121020407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167968 + ... + 1411520.

It is an arithmetic number, because the mean of its divisors is an integer number (15345728655).

Almost surely, 2314121020432 is an apocalyptic number.

It is an amenable number.

314121020432 is a deficient number, since it is larger than the sum of its proper divisors (299708125768).

314121020432 is a wasteful number, since it uses less digits than its factorization.

314121020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244251 (or 244245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 314121020432 its reverse (234020121413), we get a palindrome (548141141845).

The spelling of 314121020432 in words is "three hundred fourteen billion, one hundred twenty-one million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 149 298 541 596 1082 1192 2164 2384 4328 8656 80609 161218 243553 322436 487106 644872 974212 1289744 1948424 3896848 36289397 72578794 131762173 145157588 263524346 290315176 527048692 580630352 1054097384 2108194768 19632563777 39265127554 78530255108 157060510216 314121020432