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10314013334450 = 2527223318067817
BaseRepresentation
bin1001011000010110101100…
…0110011101101110110010
31100112000021022201102120112
42112011223012131232302
52322441044403200300
633534105312341322
72113106602553300
oct226055306355662
940460238642515
1010314013334450
11331716a706961
1211a6b12244842
1359a7b82844b7
142792b5419270
1512d4579bae35
hex9616b19dbb2

10314013334450 has 72 divisors (see below), whose sum is σ = 22411935753012. Its totient is φ = 3521055982080.

The previous prime is 10314013334377. The next prime is 10314013334483. The reversal of 10314013334450 is 5443331041301.

It can be written as a sum of positive squares in 6 ways, for example, as 2777445565489 + 7536567768961 = 1666567^2 + 2745281^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8463059 + ... + 9604758.

Almost surely, 210314013334450 is an apocalyptic number.

10314013334450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10314013334450 is an abundant number, since it is smaller than the sum of its proper divisors (12097922418562).

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

10314013334450 is a wasteful number, since it uses less digits than its factorization.

10314013334450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18068076 (or 18068064 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 10314013334450 its reverse (5443331041301), we get a palindrome (15757344375751).

The spelling of 10314013334450 in words is "ten trillion, three hundred fourteen billion, thirteen million, three hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 233 245 350 466 490 1165 1225 1631 2330 2450 3262 5825 8155 11417 11650 16310 22834 40775 57085 81550 114170 285425 570850 18067817 36135634 90339085 126474719 180678170 252949438 451695425 632373595 885323033 903390850 1264747190 1770646066 3161867975 4209801361 4426615165 6323735950 8419602722 8853230330 21049006805 22133075825 29468609527 42098013610 44266151650 58937219054 105245034025 147343047635 206280266689 210490068050 294686095270 412560533378 736715238175 1031401333445 1473430476350 2062802666890 5157006667225 10314013334450