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2141085930025 = 52729724312
BaseRepresentation
bin11111001010000010101…
…010101001001000101001
321120200111221220200122211
4133022002222221020221
5240034420444230100
64315333514045121
7310455051060100
oct37120252511051
97520457820584
102141085930025
1175603620a259
122a6b594197a1
13126b990bbac3
14758b43d7037
153aa642061ba
hex1f282aa9229

2141085930025 has 81 divisors (see below), whose sum is σ = 3127831815717. Its totient is φ = 1449666086400.

The previous prime is 2141085929993. The next prime is 2141085930041. The reversal of 2141085930025 is 5200395801412.

It is a happy number.

The square root of 2141085930025 is 1463245.

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 78725697561 + 2062360232464 = 280581^2 + 1436092^2 .

It is not a de Polignac number, because 2141085930025 - 25 = 2141085929993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2141085930025.

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, 4967716560 + ... + 4967716990.

Almost surely, 22141085930025 is an apocalyptic number.

2141085930025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2141085930025 is the 1463245-th square number.

2141085930025 is the 731623-rd centered octagonal number.

It is an amenable number.

2141085930025 is a deficient number, since it is larger than the sum of its proper divisors (986745885692).

2141085930025 is an frugal number, since it uses more digits than its factorization.

2141085930025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 2141085930025 in words is "two trillion, one hundred forty-one billion, eighty-five million, nine hundred thirty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 97 175 245 431 485 679 1225 2155 2425 3017 3395 4753 9409 10775 15085 16975 21119 23765 41807 47045 65863 75425 105595 118825 185761 209035 235225 292649 329315 461041 527975 928805 1045175 1300327 1463245 1646575 2048543 2305205 4055279 4644025 6501635 7316225 9102289 10242715 11526025 18018817 20276395 28386953 32508175 45511445 51213575 90094085 101381975 126131719 141934765 198708671 227557225 450470425 630658595 709673825 882922033 993543355 1747825249 3153292975 4414610165 4967716775 8739126245 12234776743 22073050825 43695631225 61173883715 85643437201 305869418575 428217186005 2141085930025