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4042341243144 = 233256143628377
BaseRepresentation
bin111010110100101110010…
…100000101100100001000
3112022102222201012201020200
4322310232110011210020
51012212203324240034
612333005333452200
7565022661431511
oct72645624054410
915272881181220
104042341243144
1113193902802a6
12553523aa1060
13234263c33769
14dd916833a08
157023d2ada99
hex3ad2e505908

4042341243144 has 24 divisors (see below), whose sum is σ = 10948007533710. Its totient is φ = 1347447081024.

The previous prime is 4042341243133. The next prime is 4042341243203. The reversal of 4042341243144 is 4413421432404.

4042341243144 is a `hidden beast` number, since 40 + 4 + 23 + 412 + 43 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3093201562500 + 949139680644 = 1758750^2 + 974238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4042341243099 and 4042341243108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28071814117 + ... + 28071814260.

Almost surely, 24042341243144 is an apocalyptic number.

It is an amenable number.

4042341243144 is an abundant number, since it is smaller than the sum of its proper divisors (6905666290566).

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

4042341243144 is a wasteful number, since it uses less digits than its factorization.

4042341243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56143628389 (or 56143628382 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4042341243144 its reverse (4413421432404), we get a palindrome (8455762675548).

The spelling of 4042341243144 in words is "four trillion, forty-two billion, three hundred forty-one million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56143628377 112287256754 168430885131 224574513508 336861770262 449149027016 505292655393 673723540524 1010585310786 1347447081048 2021170621572 4042341243144