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514075552144 = 24711874147737
BaseRepresentation
bin1110111101100010100…
…10100110100110010000
31211010220210211211212121
413132301102212212100
531410311320132034
61032055115104024
752066162044460
oct7366122464620
91733823754777
10514075552144
1118902227a120
128376aa42014
13396282c065b
141ac4a765ba0
15d58b6dc1b4
hex77b14a6990

514075552144 has 80 divisors (see below), whose sum is σ = 1241960973696. Its totient is φ = 200262067200.

The previous prime is 514075552139. The next prime is 514075552169. The reversal of 514075552144 is 441255570415.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 514075552144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10745044 + ... + 10792780.

Almost surely, 2514075552144 is an apocalyptic number.

It is an amenable number.

514075552144 is an abundant number, since it is smaller than the sum of its proper divisors (727885421552).

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

514075552144 is a wasteful number, since it uses less digits than its factorization.

514075552144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56504 (or 56498 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 43.

The spelling of 514075552144 in words is "five hundred fourteen billion, seventy-five million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 8741 17482 34964 47737 61187 69928 95474 96151 122374 139856 190948 192302 244748 334159 381896 384604 489496 525107 668318 673057 763792 769208 978992 1050214 1336636 1346114 1538416 2100428 2673272 2692228 3675749 4200856 5346544 5384456 7351498 8401712 10768912 14702996 29405992 58811984 417269117 834538234 1669076468 2920883819 3338152936 4589960287 5841767638 6676305872 9179920574 11683535276 18359841148 23367070552 32129722009 36719682296 46734141104 64259444018 73439364592 128518888036 257037776072 514075552144