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44022424320413 = 711171072233074591
BaseRepresentation
bin10100000001001110001001…
…11101101011100110011101
312202212111120102221012220022
422000213010331223212131
521232230411111223123
6233343342245201525
712162341466452240
oct1200470475534635
9182774512835808
1044022424320413
1113032894959550
124b2ba10a002a5
131b743b20c0536
14ac29a7a91257
155151ce6c01c8
hex2809c4f6b99d

44022424320413 has 128 divisors (see below), whose sum is σ = 59124585332736. Its totient is φ = 31729569868800.

The previous prime is 44022424320341. The next prime is 44022424320419. The reversal of 44022424320413 is 31402342422044.

44022424320413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44022424320413 - 210 = 44022424319389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44022424320419) 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 127 ways as a sum of consecutive naturals, for example, 9588850748 + ... + 9588855338.

It is an arithmetic number, because the mean of its divisors is an integer number (461910822912).

Almost surely, 244022424320413 is an apocalyptic number.

It is an amenable number.

44022424320413 is a deficient number, since it is larger than the sum of its proper divisors (15102161012323).

44022424320413 is a wasteful number, since it uses less digits than its factorization.

44022424320413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263.

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 44022424320413 its reverse (31402342422044), we get a palindrome (75424766742457).

The spelling of 44022424320413 in words is "forty-four trillion, twenty-two billion, four hundred twenty-four million, three hundred twenty thousand, four hundred thirteen".

Divisors: 1 7 11 17 77 107 119 187 223 307 749 1177 1309 1561 1819 2149 2453 3377 3791 4591 5219 8239 12733 17171 20009 23639 23861 26537 32137 32849 36533 41701 50501 57409 68461 78047 140063 167027 229943 262471 291907 353507 361339 401863 405637 479227 491237 546329 558433 753071 858517 1023793 1163837 1409437 1837297 2529373 2839459 3438659 3909031 4462007 5271497 5403607 6009619 6142763 7166551 7325327 8146859 8351029 9866059 11261723 12802207 15503807 17404481 23960429 31234049 37825249 42999341 51277289 58457203 78832061 80578597 89615449 91861319 108526649 109545851 121831367 124530559 150809759 167723003 191449291 263564719 314304451 564050179 643029233 766820957 871713913 1055668313 1205004361 1340145037 1369836149 1658907349 1844953033 1862279467 2200131157 2563765903 3457348961 5343175667 8435030527 9588853043 11612351443 13035956269 17946361321 20485074137 24201442727 28201424933 33630576257 37402229669 58774932337 143395518959 197409974531 235414033799 369936338827 411424526359 571719796369 2589554371789 4002038574583 6288917760059 44022424320413