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514143440340054 = 23723172137820947
BaseRepresentation
bin111010011100111000101100…
…1001000000000010001010110
32111102102122002100210212021020
41310321301121020000101112
51014342211231211340204
65021254122533102010
7213203431514314500
oct16471613110002126
92442378070725236
10514143440340054
1113990501041aa38
12497b8539a87906
13190b6697b87ca5
1490d6964dc4d70
153e690b6592bd9
hex1d39c59200456

514143440340054 has 96 divisors (see below), whose sum is σ = 1234927939470336. Its totient is φ = 142139749631040.

The previous prime is 514143440339981. The next prime is 514143440340059. The reversal of 514143440340054 is 450043044341415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 514143440339988 and 514143440340015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514143440340059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61828809 + ... + 69649755.

It is an arithmetic number, because the mean of its divisors is an integer number (12863832702816).

Almost surely, 2514143440340054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514143440340054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617463969735168).

514143440340054 is an abundant number, since it is smaller than the sum of its proper divisors (720784499130282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514143440340054 is a wasteful number, since it uses less digits than its factorization.

514143440340054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828210 (or 7828203 counting only the distinct ones).

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

Adding to 514143440340054 its reverse (450043044341415), we get a palindrome (964186484681469).

The spelling of 514143440340054 in words is "five hundred fourteen trillion, one hundred forty-three billion, four hundred forty million, three hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 7213 9114 14426 21639 43278 50491 100982 151473 223603 302946 353437 447206 670809 706874 1060311 1341618 1565221 2120622 3130442 4695663 7820947 9391326 10956547 15641894 21913094 23462841 32869641 46925682 54746629 65739282 109493258 164239887 242449357 328479774 383226403 484898714 727348071 766452806 1149679209 1454696142 1697145499 2299358418 3394290998 5091436497 10182872994 11880018493 23760036986 35640055479 56412490711 71280110958 112824981422 169237472133 338474944266 394887434977 789774869954 1184662304931 1748787212041 2369324609862 2764212044839 3497574424082 5246361636123 5528424089678 8292636134517 10492723272246 12241510484287 16585272269034 24483020968574 36724531452861 73449062905722 85690573390009 171381146780018 257071720170027 514143440340054