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3012133440141 = 337431572360719
BaseRepresentation
bin101011110101010001001…
…001001100101010001101
3101122221211202110220021000
4223311101021030222031
5343322322130041031
610223431025130513
7430422321540120
oct53652111145215
911587752426230
103012133440141
11a61490889961
12407931489a39
1318b073515c97
14a5b0652c3b7
1553544a723e6
hex2bd5124ca8d

3012133440141 has 64 divisors (see below), whose sum is σ = 5251752140800. Its totient is φ = 1670481828288.

The previous prime is 3012133440131. The next prime is 3012133440163. The reversal of 3012133440141 is 1410443312103.

3012133440141 is a `hidden beast` number, since 3 + 0 + 1 + 213 + 3 + 4 + 401 + 41 = 666.

It is not a de Polignac number, because 3012133440141 - 222 = 3012129245837 is a prime.

It is a super-2 number, since 2×30121334401412 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012133440131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95580 + ... + 2456298.

It is an arithmetic number, because the mean of its divisors is an integer number (82058627200).

Almost surely, 23012133440141 is an apocalyptic number.

It is an amenable number.

3012133440141 is a deficient number, since it is larger than the sum of its proper divisors (2239618700659).

3012133440141 is a wasteful number, since it uses less digits than its factorization.

3012133440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360935 (or 2360929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3012133440141 its reverse (1410443312103), we get a palindrome (4422576752244).

The spelling of 3012133440141 in words is "three trillion, twelve billion, one hundred thirty-three million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 43 63 129 157 189 301 387 471 903 1099 1161 1413 2709 3297 4239 6751 8127 9891 20253 29673 47257 60759 141771 182277 425313 1275939 2360719 7082157 16525033 21246471 49575099 63739413 101510917 148725297 304532751 370632883 446175891 710576419 913598253 1111898649 2131729257 2594430181 2740794759 3335695947 6395187771 7783290543 10007087841 15937213969 19185563313 23349871629 47811641907 70049614887 111560497783 143434925721 334681493349 430304777163 1004044480047 3012133440141