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2141856078084 = 2233233892216609
BaseRepresentation
bin11111001010110000100…
…100100001100100000100
321120202111122002021012000
4133022300210201210010
5240043010123444314
64315542145025300
7310513122162522
oct37126044414404
97522448067160
102141856078084
117563a0a10958
122a7133325230
13126c8c81c208
14759487d1312
153aaabb33209
hex1f2b0921904

2141856078084 has 96 divisors (see below), whose sum is σ = 5809291488000. Its totient is φ = 681154771968.

The previous prime is 2141856078083. The next prime is 2141856078091. The reversal of 2141856078084 is 4808706581412.

2141856078084 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 8 + 560 + 78 + 0 + 8 + 4 = 666.

It is a super-2 number, since 2×21418560780842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2141856078084.

It is not an unprimeable number, because it can be changed into a prime (2141856078083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142029 + ... + 2074580.

It is an arithmetic number, because the mean of its divisors is an integer number (60513453000).

Almost surely, 22141856078084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141856078084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904645744000).

2141856078084 is an abundant number, since it is smaller than the sum of its proper divisors (3667435409916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141856078084 is a wasteful number, since it uses less digits than its factorization.

2141856078084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217034 (or 2217026 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2141856078084 in words is "two trillion, one hundred forty-one billion, eight hundred fifty-six million, seventy-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 389 414 621 778 828 1167 1242 1556 2334 2484 3501 4668 7002 8947 10503 14004 17894 21006 26841 35788 42012 53682 80523 107364 161046 241569 322092 483138 966276 2216609 4433218 6649827 8866436 13299654 19949481 26599308 39898962 50982007 59848443 79797924 101964014 119696886 152946021 203928028 239393772 305892042 458838063 611784084 862260901 917676126 1376514189 1724521802 1835352252 2586782703 2753028378 3449043604 5173565406 5506056756 7760348109 10347130812 15520696218 19832000723 23281044327 31041392436 39664001446 46562088654 59496002169 79328002892 93124177308 118992004338 178488006507 237984008676 356976013014 535464019521 713952026028 1070928039042 2141856078084