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134141231001344 = 287372023124261
BaseRepresentation
bin11110100000000000110000…
…011011000110111100000000
3122120221202222000202012211112
4132200000300123012330000
5120040232220114020334
61153143344130302452
740153245516341240
oct3640006033067400
9576852860665745
10134141231001344
1139817a81933516
1213065576a27a28
1359b0604c9ca68
14251a682409b20
1510794c43864ce
hex7a00306c6f00

134141231001344 has 72 divisors (see below), whose sum is σ = 314280215356128. Its totient is φ = 55935339540480.

The previous prime is 134141231001319. The next prime is 134141231001347. The reversal of 134141231001344 is 443100132141431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 134141231001344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134141231001347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011495827 + ... + 1011628434.

Almost surely, 2134141231001344 is an apocalyptic number.

134141231001344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134141231001344 is an abundant number, since it is smaller than the sum of its proper divisors (180138984354784).

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

134141231001344 is an equidigital number, since it uses as much as digits as its factorization.

134141231001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023124321 (or 2023124307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 134141231001344 its reverse (443100132141431), we get a palindrome (577241363142775).

The spelling of 134141231001344 in words is "one hundred thirty-four trillion, one hundred forty-one billion, two hundred thirty-one million, one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 4144 4736 8288 9472 16576 33152 66304 2023124261 4046248522 8092497044 14161869827 16184994088 28323739654 32369988176 56647479308 64739976352 74855597657 113294958616 129479952704 149711195314 226589917232 258959905408 299422390628 453179834464 517919810816 523989183599 598844781256 906359668928 1047978367198 1197689562512 1812719337856 2095956734396 2395379125024 3625438675712 4191913468792 4790758250048 8383826937584 9581516500096 16767653875168 19163033000192 33535307750336 67070615500672 134141231001344