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1434130320225 = 352377361911437
BaseRepresentation
bin10100110111101000110…
…101000000101101100001
312002002202000012201001010
4110313220311000231201
5141444044330221400
63014455205531133
7205420041405561
oct24675065005541
95062660181033
101434130320225
115032361a6009
121b1b3b413aa9
13a53128bbb25
144d5ab40cda1
15274896a2450
hex14de8d40b61

1434130320225 has 96 divisors (see below), whose sum is σ = 2472741873280. Its totient is φ = 732753008640.

The previous prime is 1434130320167. The next prime is 1434130320263. The reversal of 1434130320225 is 5220230314341.

It is not a de Polignac number, because 1434130320225 - 210 = 1434130319201 is a prime.

It is a super-2 number, since 2×14341303202252 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1434130320192 and 1434130320201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125388207 + ... + 125399643.

Almost surely, 21434130320225 is an apocalyptic number.

1434130320225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1434130320225 is a deficient number, since it is larger than the sum of its proper divisors (1038611553055).

1434130320225 is a wasteful number, since it uses less digits than its factorization.

1434130320225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1434130320225 its reverse (5220230314341), we get a palindrome (6654360634566).

The spelling of 1434130320225 in words is "one trillion, four hundred thirty-four billion, one hundred thirty million, three hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 37 73 75 111 185 219 365 555 619 925 1095 1825 1857 2701 2775 3095 5475 8103 9285 11437 13505 15475 22903 34311 40515 45187 46425 57185 67525 68709 114515 135561 171555 202575 225935 285925 343545 423169 572575 677805 834901 857775 1129675 1269507 1671919 1717725 2115845 2504703 3389025 4174505 5015757 6347535 7079503 8359595 10579225 12523515 20872525 21238509 25078785 30891337 31737675 35397515 41797975 62617575 92674011 106192545 125393925 154456685 176987575 261941611 463370055 516803719 530962725 772283425 785824833 1309708055 1550411157 2316850275 2584018595 3929124165 6548540275 7752055785 12920092975 19121737603 19645620825 38760278925 57365212809 95608688015 286826064045 478043440075 1434130320225