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1418916939489 = 327213124332
BaseRepresentation
bin10100101001011110000…
…010100100011011100001
312000122110202112220000100
4110221132002210123201
5141221420214030424
63003501430213013
7204341040662100
oct24513602443341
95018422486010
101418916939489
114a7839691985
121aabb44b4169
13a3a59ab21aa
144c966b22037
1526d98c8ddc9
hex14a5e0a46e1

1418916939489 has 81 divisors (see below), whose sum is σ = 2408066557299. Its totient is φ = 802762047360.

The previous prime is 1418916939449. The next prime is 1418916939533. The reversal of 1418916939489 is 9849396198141.

The square root of 1418916939489 is 1191183.

It is a perfect power (a square), and thus also a powerful number.

1418916939489 is a `hidden beast` number, since 1 + 4 + 1 + 89 + 1 + 69 + 3 + 9 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159117221025 + 1259799718464 = 398895^2 + 1122408^2 .

It is a de Polignac number, because none of the positive numbers 2k-1418916939489 is a prime.

It is a super-2 number, since 2×14189169394892 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1418916939449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3276944217 + ... + 3276944649.

Almost surely, 21418916939489 is an apocalyptic number.

1418916939489 is the 1191183-rd square number.

1418916939489 is the 595592-nd centered octagonal number.

It is an amenable number.

1418916939489 is a deficient number, since it is larger than the sum of its proper divisors (989149617810).

1418916939489 is an frugal number, since it uses more digits than its factorization.

1418916939489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 574 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 72.

The spelling of 1418916939489 in words is "one trillion, four hundred eighteen billion, nine hundred sixteen million, nine hundred thirty-nine thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 131 147 393 433 441 917 1179 1299 2751 3031 3897 6419 8253 9093 17161 19257 21217 27279 51483 56723 57771 63651 120127 154449 170169 187489 190953 360381 397061 510507 562467 840889 1081143 1191183 1312423 1687401 2522667 2779427 3573549 3937269 7430713 7568001 8338281 9186961 11811807 22292139 24561059 25014843 27560883 52014991 66876417 73683177 82682649 156044973 171927413 221049531 364104937 468134919 515782239 1092314811 1203491891 1547346717 3217498729 3276944433 3610475673 9652496187 10831427019 22522491103 28957488561 67567473309 157657437721 202702419927 472972313163 1418916939489