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2530016007141 = 3712749913031459
BaseRepresentation
bin100100110100010000101…
…101001001001111100101
322221212102011110201020210
4210310100231021033211
5312422433044212031
65214135011250033
7350534104142340
oct44642055111745
98855364421223
102530016007141
11895a79095757
1234a4012a9919
1315476c1900cc
148a64c2c7457
1545c28d4c746
hex24d10b493e5

2530016007141 has 64 divisors (see below), whose sum is σ = 3899064320000. Its totient is φ = 1429386388416.

The previous prime is 2530016007133. The next prime is 2530016007151. The reversal of 2530016007141 is 1417006100352.

It is not a de Polignac number, because 2530016007141 - 23 = 2530016007133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2530016007099 and 2530016007108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530016007151) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1734074670 + ... + 1734076128.

It is an arithmetic number, because the mean of its divisors is an integer number (60922880000).

Almost surely, 22530016007141 is an apocalyptic number.

2530016007141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2530016007141 is a deficient number, since it is larger than the sum of its proper divisors (1369048312859).

2530016007141 is a wasteful number, since it uses less digits than its factorization.

2530016007141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 2530016007141 in words is "two trillion, five hundred thirty billion, sixteen million, seven thousand, one hundred forty-one".

Divisors: 1 3 7 21 127 381 499 889 1303 1459 1497 2667 3493 3909 4377 9121 10213 10479 27363 30639 63373 165481 185293 190119 443611 496443 555879 650197 728041 1158367 1297051 1330833 1901077 1950591 2184123 3475101 3891153 4551379 5096287 5703231 13307539 13654137 15288861 39922617 82575019 92461207 241436779 247725057 277383621 578025133 647228449 724310337 948637423 1690057453 1734075399 1941685347 2845912269 5070172359 6640461961 19921385883 120476952721 361430858163 843338669047 2530016007141