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514122510440420 = 225729831525676629
BaseRepresentation
bin111010011100101110111100…
…1100110110001011111100100
32111102100122001201111210112022
41310321131321212301133210
51014341340400133043140
65021240342024442312
7213202061041152110
oct16471357146613744
92442318051453468
10514122510440420
111398a714aaa7622
12497b4478619398
13190b47109485ab
1490d593b3dc740
153e6878dd910b5
hex1d397799b17e4

514122510440420 has 96 divisors (see below), whose sum is σ = 1291820916153600. Its totient is φ = 168141769818624.

The previous prime is 514122510440387. The next prime is 514122510440459. The reversal of 514122510440420 is 24044015221415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762501335 + ... + 763175294.

It is an arithmetic number, because the mean of its divisors is an integer number (13456467876600).

Almost surely, 2514122510440420 is an apocalyptic number.

It is an amenable number.

514122510440420 is an abundant number, since it is smaller than the sum of its proper divisors (777698405713180).

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

514122510440420 is a wasteful number, since it uses less digits than its factorization.

514122510440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525676757 (or 1525676755 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 514122510440420 its reverse (24044015221415), we get a palindrome (538166525661835).

The spelling of 514122510440420 in words is "five hundred fourteen trillion, one hundred twenty-two billion, five hundred ten million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 83 116 140 145 166 203 290 332 406 415 580 581 812 830 1015 1162 1660 2030 2324 2407 2905 4060 4814 5810 9628 11620 12035 16849 24070 33698 48140 67396 84245 168490 336980 1525676629 3051353258 6102706516 7628383145 10679736403 15256766290 21359472806 30513532580 42718945612 44244622241 53398682015 88489244482 106797364030 126631160207 176978488964 213594728060 221223111205 253262320414 309712355687 442446222410 506524640828 619424711374 633155801035 884892444820 886418121449 1238849422748 1266311602070 1548561778435 1772836242898 2532623204140 3097123556870 3545672485796 3672303646003 4432090607245 6194247113740 7344607292006 8864181214490 14689214584012 17728362428980 18361518230015 25706125522021 36723036460030 51412251044042 73446072920060 102824502088084 128530627610105 257061255220210 514122510440420