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54344011044345 = 35114759613193757
BaseRepresentation
bin11000101101100111100110…
…11110010101010111111001
321010102020101120022200202120
430112303303132111113321
524110333013311404340
6311325143301551453
714306140153153341
oct1426636336252771
9233366346280676
1054344011044345
1116352190541a80
126118297415589
1324428063ba289
14d5c39ac43d21
1564392beb84d0
hex316cf37955f9

54344011044345 has 128 divisors (see below), whose sum is σ = 98676330209280. Its totient is φ = 25309431751680.

The previous prime is 54344011044311. The next prime is 54344011044347.

54344011044345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54344011044345 - 210 = 54344011043321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54344011044297 and 54344011044306.

It is not an unprimeable number, because it can be changed into a prime (54344011044347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280378207 + ... + 280571963.

It is an arithmetic number, because the mean of its divisors is an integer number (770908829760).

Almost surely, 254344011044345 is an apocalyptic number.

54344011044345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54344011044345 is a deficient number, since it is larger than the sum of its proper divisors (44332319164935).

54344011044345 is a wasteful number, since it uses less digits than its factorization.

54344011044345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194495.

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 5434401 and 1044345, that added together give a palindrome (6478746).

The spelling of 54344011044345 in words is "fifty-four trillion, three hundred forty-four billion, eleven million, forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 47 55 59 141 165 177 235 295 517 613 649 705 885 1551 1839 1947 2585 2773 3065 3245 6743 7755 8319 9195 9735 13865 20229 28811 30503 33715 36167 41595 86433 91509 101145 108501 144055 152515 180835 193757 316921 397837 432165 457545 542505 581271 950763 968785 1193511 1584605 1699849 1989185 2131327 2906355 4753815 5099547 5967555 6393981 8499245 9106579 10656635 11431663 18698339 25497735 27319737 31969905 34294989 45532895 56095017 57158315 93491695 100172369 118773041 125748293 136598685 171474945 280475085 300517107 356319123 377244879 500861845 537288161 593865205 628741465 1306503451 1502585535 1611864483 1781595615 1886224395 2686440805 3919510353 5582332927 5910169771 6532517255 7007609419 8059322415 16746998781 17730509313 19597551765 21022828257 27911664635 29550848855 35038047095 61405662197 77083703609 83734993905 88652546565 105114141285 184216986591 231251110827 307028310985 329357642693 385418518045 921084932955 988072928079 1156255554135 1646788213465 3622934069623 4940364640395 10868802208869 18114670348115 54344011044345