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145442524654161 = 327151191599133633
BaseRepresentation
bin100001000100011101111010…
…000001000110101001010001
3201001222011120121120021221100
4201010131322001012221101
5123030412242302413121
61233155212354415013
742430606226403630
oct4104357201065121
9631864517507840
10145442524654161
1142384912541189
121438b89b291469
13632022c247647
1427cb654831517
1511c3461a89026
hex84477a046a51

145442524654161 has 96 divisors (see below), whose sum is σ = 243358418534400. Its totient is φ = 81989646336000.

The previous prime is 145442524654061. The next prime is 145442524654183. The reversal of 145442524654161 is 161456425244541.

145442524654161 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 4 + 2 + 52 + 46 + 541 + 6 + 1 = 666.

It is not a de Polignac number, because 145442524654161 - 219 = 145442524129873 is a prime.

It is a super-2 number, since 2×1454425246541612 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145442524654098 and 145442524654107.

It is not an unprimeable number, because it can be changed into a prime (145442524654061) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1088306001 + ... + 1088439633.

It is an arithmetic number, because the mean of its divisors is an integer number (2534983526400).

Almost surely, 2145442524654161 is an apocalyptic number.

It is an amenable number.

145442524654161 is a deficient number, since it is larger than the sum of its proper divisors (97915893880239).

145442524654161 is a wasteful number, since it uses less digits than its factorization.

145442524654161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134587 (or 134584 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 145442524654161 in words is "one hundred forty-five trillion, four hundred forty-two billion, five hundred twenty-four million, six hundred fifty-four thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 63 151 191 453 573 599 1057 1337 1359 1719 1797 3171 4011 4193 5391 9513 12033 12579 28841 37737 86523 90449 114409 133633 201887 259569 271347 343227 400899 605661 633143 800863 814041 935431 1029681 1202697 1816983 1899429 2402589 2806293 5698287 7207767 8418879 17275759 20178583 25523903 51827277 60535749 76571709 80046167 120930313 141250081 155481831 178667321 181607247 229715127 240138501 362790939 423750243 536001963 560323169 720415503 1088372817 1271250729 1608005889 1680969507 3854109353 5042908521 11562328059 12086971217 15288817897 26978765471 34686984177 36260913651 45866453691 80936296413 84608798519 107021725279 108782740953 137599361073 242808889239 253826395557 321065175837 761479186671 963195527511 2308611502447 6925834507341 16160280517129 20777503522023 48480841551387 145442524654161