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1417183107025 = 52744321132
BaseRepresentation
bin10100100111110110101…
…100100001011111010001
312000110222221001002000011
4110213312230201133101
5141204342333411100
63003013412154521
7204250055440000
oct24476654413721
95013887032004
101417183107025
114a7029a10994
121aa7ab908a41
13a384181b41a
144c840750c37
1526ce6955bba
hex149f6b217d1

1417183107025 has 135 divisors (see below), whose sum is σ = 2117592662289. Its totient is φ = 940783253760.

The previous prime is 1417183107023. The next prime is 1417183107037. The reversal of 1417183107025 is 5207013817141.

The square root of 1417183107025 is 1190455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 721006472641 + 696176634384 = 849121^2 + 834372^2 .

It is not a de Polignac number, because 1417183107025 - 21 = 1417183107023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1417183107023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12541443369 + ... + 12541443481.

Almost surely, 21417183107025 is an apocalyptic number.

1417183107025 is the 1190455-th square number.

1417183107025 is the 595228-th centered octagonal number.

It is an amenable number.

1417183107025 is a deficient number, since it is larger than the sum of its proper divisors (700409555264).

1417183107025 is an frugal number, since it uses more digits than its factorization.

1417183107025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 1417183107025 in words is "one trillion, four hundred seventeen billion, one hundred eighty-three million, one hundred seven thousand, twenty-five".

Divisors: 1 5 7 25 35 43 49 113 175 215 245 301 343 565 791 1075 1225 1505 1715 1849 2107 2401 2825 3955 4859 5537 7525 8575 9245 10535 12005 12769 12943 14749 19775 24295 27685 34013 38759 46225 52675 60025 63845 64715 73745 89383 90601 103243 121475 138425 170065 193795 208937 238091 271313 319225 323575 368725 446915 453005 516215 549067 625681 634207 850325 968975 1044685 1190455 1356565 1462559 1666637 2234575 2265025 2581075 2745335 3128405 3171035 3843469 4379767 4439449 5223425 5952275 6782825 7312795 8333185 10237913 11666459 13726675 15642025 15855175 19217345 21898835 22197245 23609881 26904283 30658369 36563975 41665925 51189565 58332295 71665391 96086725 109494175 110986225 118049405 134521415 153291845 165269167 188329981 255947825 291661475 358326955 501657737 590247025 672607075 766459225 826345835 941649905 1156884169 1318309867 1791634775 2508288685 4131729175 4708249525 5784420845 6591549335 8098189183 12541443425 28922104225 32957746675 40490945915 56687324281 202454729575 283436621405 1417183107025