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1434770356761 = 3472190132
BaseRepresentation
bin10100111000001110111…
…110100011101000011001
312002011101121112221010000
4110320032332203220121
5142001402202404021
63015042512043213
7205441642544400
oct24701676435031
95064347487100
101434770356761
11503534509a25
121b2099833509
13a53b5394a81
144d62c418637
15274c597cb26
hex14e0efa3a19

1434770356761 has 45 divisors (see below), whose sum is σ = 2493356423151. Its totient is φ = 819825653808.

The previous prime is 1434770356759. The next prime is 1434770356763. The reversal of 1434770356761 is 1676530774341.

The square root of 1434770356761 is 1197819.

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

1434770356761 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 7 + 70 + 3 + 567 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1434770356759) and next prime (1434770356763).

It can be written as a sum of positive squares in only one way, i.e., 150921225 + 1434619435536 = 12285^2 + 1197756^2 .

It is not a de Polignac number, because 1434770356761 - 21 = 1434770356759 is a prime.

It is a super-2 number, since 2×14347703567612 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1434770356698 and 1434770356707.

It is not an unprimeable number, because it can be changed into a prime (1434770356763) 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, 75453091 + ... + 75472103.

Almost surely, 21434770356761 is an apocalyptic number.

1434770356761 is the 1197819-th square number.

1434770356761 is the 598910-th centered octagonal number.

It is an amenable number.

1434770356761 is a deficient number, since it is larger than the sum of its proper divisors (1058586066390).

1434770356761 is an frugal number, since it uses more digits than its factorization.

1434770356761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38052 (or 19023 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 1434770356761 in words is "one trillion, four hundred thirty-four billion, seven hundred seventy million, three hundred fifty-six thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 19013 57039 133091 171117 399273 513351 931637 1197819 1540053 2794911 3593457 8384733 10780371 25154199 75462597 361494169 1084482507 2530459183 3253447521 7591377549 9760342563 17713214281 22774132647 29281027689 53139642843 68322397941 159418928529 204967193823 478256785587 1434770356761