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134331442012224 = 2632233214309049
BaseRepresentation
bin11110100010110001111001…
…111000100010000001000000
3122121121221221011022201201100
4132202301321320202001000
5120101341243123342344
61153411002412334400
740203061234300332
oct3642617170420100
9577557834281640
10134331442012224
1139890710003266
1213096400174400
1359c5529242782
1425259683b5452
15107e40822e569
hex7a2c79e22040

134331442012224 has 42 divisors (see below), whose sum is σ = 385036824241550. Its totient is φ = 44777147337216.

The previous prime is 134331442012219. The next prime is 134331442012247. The reversal of 134331442012224 is 422210244133431.

134331442012224 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 1 + 4 + 420 + 1 + 2 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103615461172224 + 30715980840000 = 10179168^2 + 5542200^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 116607153949 + ... + 116607155100.

Almost surely, 2134331442012224 is an apocalyptic number.

It is an amenable number.

134331442012224 is an abundant number, since it is smaller than the sum of its proper divisors (250705382229326).

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

134331442012224 is a wasteful number, since it uses less digits than its factorization.

134331442012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233214309067 (or 233214309054 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134331442012224 its reverse (422210244133431), we get a palindrome (556541686145655).

The spelling of 134331442012224 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, four hundred forty-two million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 233214309049 466428618098 699642927147 932857236196 1399285854294 1865714472392 2098928781441 2798571708588 3731428944784 4197857562882 5597143417176 7462857889568 8395715125764 11194286834352 14925715779136 16791430251528 22388573668704 33582860503056 44777147337408 67165721006112 134331442012224