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366016242141 = 321122922815081
BaseRepresentation
bin1010101001110000100…
…01001010000111011101
31021222202022010121012100
411110320101022013131
521444100124222031
6440051234155313
735305136503524
oct5247021120735
91258668117170
10366016242141
11131254699100
125ab2a122b39
1328690b20694
1413a02a314bb
1597c31a6de6
hex553844a1dd

366016242141 has 72 divisors (see below), whose sum is σ = 601542821880. Its totient is φ = 214042752000.

The previous prime is 366016242127. The next prime is 366016242161. The reversal of 366016242141 is 141242610663.

366016242141 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 1 + 624 + 21 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22913179641 + 343103062500 = 151371^2 + 585750^2 .

It is not a de Polignac number, because 366016242141 - 27 = 366016242013 is a prime.

It is a super-2 number, since 2×3660162421412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 366016242096 and 366016242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366016242121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72033721 + ... + 72038801.

It is an arithmetic number, because the mean of its divisors is an integer number (8354761415).

Almost surely, 2366016242141 is an apocalyptic number.

It is an amenable number.

366016242141 is a deficient number, since it is larger than the sum of its proper divisors (235526579739).

366016242141 is a wasteful number, since it uses less digits than its factorization.

366016242141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7419 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 366016242141 in words is "three hundred sixty-six billion, sixteen million, two hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 2281 2871 3509 5081 6843 10527 15243 20529 25091 31581 45729 55891 66149 75273 147349 167673 198447 225819 276001 442047 503019 595341 614801 727639 828003 1326141 1620839 1844403 2182917 2484009 4862517 5533209 6548751 8004029 11589761 14587551 17829229 24012087 34769283 53487687 72036261 104307849 127487371 160463061 336103069 382462113 1008309207 1147386339 1402361081 3024927621 3697133759 4207083243 11091401277 12621249729 33274203831 40668471349 122005414047 366016242141