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334033021413 = 327213109753113
BaseRepresentation
bin1001101110001011110…
…10110110100111100101
31011221012100001122102200
410313011322312213211
520433044423141123
6413241434525113
733063435556200
oct4670572664745
91157170048380
10334033021413
11119731a28a83
12548a2b96799
13256649076c0
141224b058937
158a503d2143
hex4dc5eb69e5

334033021413 has 72 divisors (see below), whose sum is σ = 605003090328. Its totient is φ = 176029314048.

The previous prime is 334033021373. The next prime is 334033021447. The reversal of 334033021413 is 314120330433.

334033021413 is a `hidden beast` number, since 3 + 3 + 403 + 30 + 214 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2512716129 + 331520305284 = 50127^2 + 575778^2 .

It is not a de Polignac number, because 334033021413 - 210 = 334033020389 is a prime.

It is a super-2 number, since 2×3340330214132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334033021313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6262545 + ... + 6315657.

It is an arithmetic number, because the mean of its divisors is an integer number (8402820699).

Almost surely, 2334033021413 is an apocalyptic number.

It is an amenable number.

334033021413 is a deficient number, since it is larger than the sum of its proper divisors (270970068915).

334033021413 is a wasteful number, since it uses less digits than its factorization.

334033021413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54243 (or 54233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 334033021413 its reverse (314120330433), we get a palindrome (648153351846).

The spelling of 334033021413 in words is "three hundred thirty-four billion, thirty-three million, twenty-one thousand, four hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1097 1911 3291 5733 7679 9873 14261 23037 42783 53113 53753 69111 99827 128349 159339 161259 299481 371791 478017 483777 690469 698789 898443 1115373 2071407 2096367 2602537 3346119 4833283 6214221 6289101 7807611 14499849 23422833 33832981 43499547 58264961 101498943 174794883 304496829 407854727 524384649 757444493 1223564181 2272333479 2854983089 3670692543 5302111451 6817000437 8564949267 15906334353 25694847801 37114780157 47719003059 111344340471 334033021413