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3146445450 = 23252431131439
BaseRepresentation
bin1011101110001010…
…1111001010001010
322010021120222201200
42323202233022022
522420442223300
61240115125030
7140654226231
oct27342571212
98107528650
103146445450
1113750a5045
127398a3776
133b1b3a555
1421bc47b18
15136370200
hexbb8af28a

3146445450 has 144 divisors (see below), whose sum is σ = 8732655360. Its totient is φ = 811722240.

The previous prime is 3146445433. The next prime is 3146445461. The reversal of 3146445450 is 545446413.

3146445450 is a `hidden beast` number, since 3 + 1 + 4 + 644 + 5 + 4 + 5 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2185831 + ... + 2187269.

It is an arithmetic number, because the mean of its divisors is an integer number (60643440).

Almost surely, 23146445450 is an apocalyptic number.

3146445450 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 3146445450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366327680).

3146445450 is an abundant number, since it is smaller than the sum of its proper divisors (5586209910).

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

3146445450 is a wasteful number, since it uses less digits than its factorization.

3146445450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3146445450 is about 56093.1854149860. The cubic root of 3146445450 is about 1465.3456145835.

The spelling of 3146445450 in words is "three billion, one hundred forty-six million, four hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 113 129 150 215 225 226 258 339 387 430 450 565 645 678 774 1017 1075 1130 1290 1439 1695 1935 2034 2150 2825 2878 3225 3390 3870 4317 4859 5085 5650 6450 7195 8475 8634 9675 9718 10170 12951 14390 14577 16950 19350 21585 24295 25425 25902 29154 35975 43170 43731 48590 50850 61877 64755 71950 72885 87462 107925 121475 123754 129510 145770 162607 185631 215850 218655 242950 309385 323775 325214 364425 371262 437310 487821 556893 618770 647550 728850 813035 928155 975642 1093275 1113786 1463463 1546925 1626070 1856310 2186550 2439105 2784465 2926926 3093850 4065175 4640775 4878210 5568930 6992101 7317315 8130350 9281550 12195525 13922325 13984202 14634630 20976303 24391050 27844650 34960505 36586575 41952606 62928909 69921010 73173150 104881515 125857818 174802525 209763030 314644545 349605050 524407575 629289090 1048815150 1573222725 3146445450