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2141253144333 = 32472127877967
BaseRepresentation
bin11111001010001100101…
…000100000111100001101
321120200221121120001120100
4133022030220200330031
5240040241301104313
64315402250041313
7310462151264262
oct37121450407415
97520847501510
102141253144333
117561116398a6
122a6ba5419239
13126bc4937194
14758cc6c3269
153aa73c36173
hex1f28ca20f0d

2141253144333 has 72 divisors (see below), whose sum is σ = 3191940257792. Its totient is φ = 1383116357952.

The previous prime is 2141253144323. The next prime is 2141253144353. The reversal of 2141253144333 is 3334413521412.

2141253144333 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 2 + 5 + 314 + 4 + 333 = 666.

It is not a de Polignac number, because 2141253144333 - 230 = 2140179402509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141253144313) 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 71 ways as a sum of consecutive naturals, for example, 2214325416 + ... + 2214326382.

Almost surely, 22141253144333 is an apocalyptic number.

It is an amenable number.

2141253144333 is a deficient number, since it is larger than the sum of its proper divisors (1050687113459).

2141253144333 is a wasteful number, since it uses less digits than its factorization.

2141253144333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2021 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 2141253144333 its reverse (3334413521412), we get a palindrome (5475666665745).

The spelling of 2141253144333 in words is "two trillion, one hundred forty-one billion, two hundred fifty-three million, one hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 47 127 141 381 423 877 967 1143 2209 2631 2901 5969 6627 7893 8703 17907 19881 41219 45449 53721 111379 122809 123657 136347 280543 334137 368427 370971 409041 841629 848059 1002411 1105281 1937293 2136103 2524887 2544177 5234813 5772023 5811879 6408309 7632531 15704439 17316069 17435637 19224927 39858773 47113317 51948207 107703493 119576319 246036211 271285081 323110479 358728957 738108633 813855243 969331437 1873362331 2214325899 2441565729 5062064171 5620086993 15186192513 16860260979 45558577539 237917016037 713751048111 2141253144333