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340024111413021 = 3271713715115346973
BaseRepresentation
bin100110101010000000000100…
…0011000000011011100011101
31122120220222122221202021210200
41031110000020120003130131
5324031423340010204041
63203100530443454113
7131422634313262440
oct11524001030033435
91576828587667720
10340024111413021
1199384463534012
1232176b4ab27339
13117961a00a7179
145dd737d26d657
152949c1a2281b6
hex135400860371d

340024111413021 has 96 divisors (see below), whose sum is σ = 602630733040128. Its totient is φ = 180333059788800.

The previous prime is 340024111412989. The next prime is 340024111413023. The reversal of 340024111413021 is 120314111420043.

It is a happy number.

340024111413021 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 241 + 1 + 1 + 413 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 340024111413021 - 25 = 340024111412989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340024111413023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14482291 + ... + 29829263.

It is an arithmetic number, because the mean of its divisors is an integer number (6277403469168).

Almost surely, 2340024111413021 is an apocalyptic number.

It is an amenable number.

340024111413021 is a deficient number, since it is larger than the sum of its proper divisors (262606621627107).

340024111413021 is a wasteful number, since it uses less digits than its factorization.

340024111413021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15347291 (or 15347288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 340024111413021 its reverse (120314111420043), we get a palindrome (460338222833064).

The spelling of 340024111413021 in words is "three hundred forty trillion, twenty-four billion, one hundred eleven million, four hundred thirteen thousand, twenty-one".

Divisors: 1 3 7 9 17 21 51 63 119 137 151 153 357 411 453 959 1057 1071 1233 1359 2329 2567 2877 3171 6987 7701 8631 9513 16303 17969 20687 20961 23103 48909 53907 62061 144809 146727 161721 186183 351679 434427 1055037 1303281 2461753 3165111 7385259 15346973 22155777 46040919 107428811 138122757 260898541 322286433 782695623 966859299 1826289787 2102535301 2317392923 2348086869 5478869361 6307605903 6952178769 14717747107 16221750461 16436608083 18922817709 20856536307 35743100117 39395679691 44153241321 48665251383 107229300351 118187039073 132459723963 145995754149 250201700819 275769757837 317482830451 321687901053 354561117219 750605102457 827309273511 952448491353 2222379813157 2251815307371 2481927820533 2857345474059 5397208117667 6667139439471 16191624353001 20001418318413 37780456823669 48574873059003 113341370471007 340024111413021