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2434122214342 = 27213103910491753
BaseRepresentation
bin100011011010111100111…
…111010110101111000110
322121200220011101022100021
4203122330333112233012
5304340040241324332
65102115330405354
7340600550304400
oct43327477265706
98550804338307
102434122214342
1185933a594925
123338ba73085a
131486c92a9c90
1485b52745b70
15434b5366c97
hex236bcfd6bc6

2434122214342 has 96 divisors (see below), whose sum is σ = 4585390992000. Its totient is φ = 960557294592.

The previous prime is 2434122214331. The next prime is 2434122214387.

2434122214342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2434122214298 and 2434122214307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388545738 + ... + 1388547490.

It is an arithmetic number, because the mean of its divisors is an integer number (47764489500).

Almost surely, 22434122214342 is an apocalyptic number.

2434122214342 is a deficient number, since it is larger than the sum of its proper divisors (2151268777658).

2434122214342 is a wasteful number, since it uses less digits than its factorization.

2434122214342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3863 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 2434122214342 in words is "two trillion, four hundred thirty-four billion, one hundred twenty-two million, two hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1039 1049 1274 1753 2078 2098 3506 7273 7343 12271 13507 13637 14546 14686 22789 24542 27014 27274 45578 50911 51401 85897 94549 95459 101822 102802 159523 171794 189098 190918 319046 661843 668213 1089911 1116661 1323686 1336426 1821367 1838897 2179822 2233322 3642734 3677794 7629377 12749569 12872279 14168843 15258754 23677771 23905661 25499138 25744558 28337686 47355542 47811322 53405639 89246983 90105953 99181901 106811278 165744397 167339627 178493966 180211906 198363802 331488794 334679254 694273307 1160210779 1171377389 1388546614 1910613983 2320421558 2342754778 3821227966 13374297881 24837981779 26748595762 49675963558 93620085167 173865872453 187240170334 347731744906 1217061107171 2434122214342