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10342044969025 = 527211283532
BaseRepresentation
bin1001011001111111000111…
…1010101010100001000001
31100121200121220012000012111
42112133301322222201001
52323421002003002100
633555023031455321
72115121341534400
oct226376172524101
940550556160174
1010342044969025
11332804484a900
1211b0435b27541
135a03348ca213
1427a7b4281637
1512e0488d06ba
hex967f1eaa841

10342044969025 has 81 divisors (see below), whose sum is σ = 16399293895593. Its totient is φ = 6446217254400.

The previous prime is 10342044969017. The next prime is 10342044969059. The reversal of 10342044969025 is 52096944024301.

The square root of 10342044969025 is 3215905.

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

10342044969025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4456764081 + 10337588204944 = 66759^2 + 3215212^2 .

It is not a de Polignac number, because 10342044969025 - 23 = 10342044969017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 10342044969025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1238119249 + ... + 1238127601.

Almost surely, 210342044969025 is an apocalyptic number.

10342044969025 is the 3215905-th square number.

10342044969025 is the 1607953-rd centered octagonal number.

It is an amenable number.

10342044969025 is a deficient number, since it is larger than the sum of its proper divisors (6057248926568).

10342044969025 is an frugal number, since it uses more digits than its factorization.

10342044969025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16752 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 10342044969025 by its sum of digits (49), we get a square (506760203482225 = 225113352).

10342044969025 divided by its sum of digits (49) gives a square (211062142225 = 4594152).

The spelling of 10342044969025 in words is "ten trillion, three hundred forty-two billion, forty-four million, nine hundred sixty-nine thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 3025 4235 5929 8353 13475 21175 29645 41765 58471 91883 148225 208825 292355 409297 459415 643181 1010713 1461775 2046485 2297075 3215905 4502267 5053565 7074991 10232425 16079525 22511335 25267825 35374955 49524937 69772609 112556675 176874775 247624685 348863045 488408263 767498699 1238123425 1744315225 2442041315 3418857841 3837493495 5372490893 8442485689 12210206575 17094289205 19187467475 26862454465 37607436251 42212428445 59097399823 85471446025 134312272325 188037181255 211062142225 295486999115 413681798761 940185906275 1477434995575 2068408993805 10342044969025