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514134500535201 = 372131731555141667
BaseRepresentation
bin111010011100110100100010…
…0010001010110101110100001
32111102101210000022222201110210
41310321221010101112232201
51014342034424114111301
65021250043502044333
7213202664132242500
oct16471510421265641
92442353008881423
10514134500535201
11139901243103267
12497b6863b796a9
13190b58a1a22730
1490d635799c837
153e68c41806ad6
hex1d39a44456ba1

514134500535201 has 48 divisors (see below), whose sum is σ = 863738123540544. Its totient is φ = 269624241484416.

The previous prime is 514134500535197. The next prime is 514134500535211. The reversal of 514134500535201 is 102535005431415.

It is not a de Polignac number, because 514134500535201 - 22 = 514134500535197 is a prime.

It is a super-2 number, since 2×5141345005352012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 514134500535201.

It is not an unprimeable number, because it can be changed into a prime (514134500535211) 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 47 ways as a sum of consecutive naturals, for example, 777240231 + ... + 777901436.

It is an arithmetic number, because the mean of its divisors is an integer number (17994544240428).

Almost surely, 2514134500535201 is an apocalyptic number.

It is an amenable number.

514134500535201 is a deficient number, since it is larger than the sum of its proper divisors (349603623005343).

514134500535201 is a wasteful number, since it uses less digits than its factorization.

514134500535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555141870 (or 1555141863 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 514134500535201 its reverse (102535005431415), we get a palindrome (616669505966616).

The spelling of 514134500535201 in words is "five hundred fourteen trillion, one hundred thirty-four billion, five hundred million, five hundred thirty-five thousand, two hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 173 273 519 637 1211 1911 2249 3633 6747 8477 15743 25431 47229 110201 330603 1555141667 4665425001 10885991669 20216841671 32657975007 60650525013 76201941683 141517891697 228605825049 269039508391 424553675091 807118525173 990625241879 1883276558737 2971875725637 3497513609083 5649829676211 10492540827249 13182935911159 24482595263581 39548807733477 73447785790743 171378166845067 514134500535201