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743870025441 = 3461215712
BaseRepresentation
bin10101101001100100001…
…10111100111011100001
32122010001120200121010000
422310302012330323201
544141421211303231
61325421300130213
7104512535614224
oct12646206747341
92563046617100
10743870025441
11267523267074
12100200696969
13551ba233b8a
14280098715bb
151453a6dd6e6
hexad321bcee1

743870025441 has 45 divisors (see below), whose sum is σ = 1130448063459. Its totient is φ = 487473130800.

The previous prime is 743870025407. The next prime is 743870025443. The reversal of 743870025441 is 144520078347.

The square root of 743870025441 is 862479.

It is a perfect power (a square), and thus also a powerful number.

743870025441 is a `hidden beast` number, since 7 + 4 + 38 + 70 + 0 + 2 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24189269841 + 719680755600 = 155529^2 + 848340^2 .

It is not a de Polignac number, because 743870025441 - 219 = 743869501153 is a prime.

It is a super-2 number, since 2×7438700254412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (743870025443) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 473500186 + ... + 473501756.

Almost surely, 2743870025441 is an apocalyptic number.

743870025441 is the 862479-th square number.

743870025441 is the 431240-th centered octagonal number.

It is an amenable number.

743870025441 is a deficient number, since it is larger than the sum of its proper divisors (386578038018).

743870025441 is an frugal number, since it uses more digits than its factorization.

743870025441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 743870025441 in words is "seven hundred forty-three billion, eight hundred seventy million, twenty-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 61 81 183 549 1571 1647 3721 4713 4941 11163 14139 33489 42417 95831 100467 127251 287493 301401 862479 2468041 2587437 5845691 7404123 7762311 17537073 22212369 52611219 66637107 150550501 157833657 199911321 451651503 473500971 1354954509 4064863527 9183580561 12194590581 27550741683 82652225049 247956675147 743870025441