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4213414450 = 2527213712553
BaseRepresentation
bin1111101100100011…
…1001101000110010
3101212122021122001001
43323020321220302
532112113230300
61534032032214
7206261301100
oct37310715062
911778248031
104213414450
1118723a9703
1299709266a
13521bc475b
142bd828c70
15199d7e16a
hexfb239a32

4213414450 has 72 divisors (see below), whose sum is σ = 9183728052. Its totient is φ = 1433940480.

The previous prime is 4213414441. The next prime is 4213414493. The reversal of 4213414450 is 544143124.

It can be written as a sum of positive squares in 6 ways, for example, as 3182426569 + 1030987881 = 56413^2 + 32109^2 .

It is a super-2 number, since 2×42134144502 = 35505722654937605000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329374 + ... + 341926.

Almost surely, 24213414450 is an apocalyptic number.

4213414450 is an abundant number, since it is smaller than the sum of its proper divisors (4970313602).

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

4213414450 is a wasteful number, since it uses less digits than its factorization.

4213414450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12704 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4213414450 is about 64910.8192060461. The cubic root of 4213414450 is about 1615.1445393933.

Adding to 4213414450 its reverse (544143124), we get a palindrome (4757557574).

The spelling of 4213414450 in words is "four billion, two hundred thirteen million, four hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 137 175 245 274 350 490 685 959 1225 1370 1918 2450 3425 4795 6713 6850 9590 12553 13426 23975 25106 33565 47950 62765 67130 87871 125530 167825 175742 313825 335650 439355 615097 627650 878710 1230194 1719761 2196775 3075485 3439522 4393550 6150970 8598805 12038327 15377425 17197610 24076654 30754850 42994025 60191635 84268289 85988050 120383270 168536578 300958175 421341445 601916350 842682890 2106707225 4213414450