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542214181412245 = 51094817206536933
BaseRepresentation
bin111101101001001000001001…
…1101011001101110110010101
32122002211011120120110120121001
41323102100103223031312111
51032032114120420142440
65201105431202023301
7222131452610501626
oct17322202353156625
92562734516416531
10542214181412245
11147847819a04831
12509908a8347b31
131a37176889a474
1497c7440ac3a4d
1542a437da86b9a
hex1ed2413acdd95

542214181412245 has 16 divisors (see below), whose sum is σ = 656762665687920. Its totient is φ = 429702565469184.

The previous prime is 542214181412213. The next prime is 542214181412261.

542214181412245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 140923822445956 + 401290358966289 = 11871134^2 + 20032233^2 .

It is a cyclic number.

It is not a de Polignac number, because 542214181412245 - 25 = 542214181412213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542214181412195 and 542214181412204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100643202 + ... + 105893731.

It is an arithmetic number, because the mean of its divisors is an integer number (41047666605495).

Almost surely, 2542214181412245 is an apocalyptic number.

It is an amenable number.

542214181412245 is a deficient number, since it is larger than the sum of its proper divisors (114548484275675).

542214181412245 is a wasteful number, since it uses less digits than its factorization.

542214181412245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206541864.

The product of its digits is 819200, while the sum is 46.

The spelling of 542214181412245 in words is "five hundred forty-two trillion, two hundred fourteen billion, one hundred eighty-one million, four hundred twelve thousand, two hundred forty-five".

Divisors: 1 5 109 545 4817 24085 525053 2625265 206536933 1032684665 22512525697 112562628485 994888406261 4974442031305 108442836282449 542214181412245