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3642143555214 = 2321723553193563
BaseRepresentation
bin110101000000000000101…
…011000011111010001110
3110220012000020122202101200
4311000000223003322032
5434133102222231324
611425102212250330
7524064466263033
oct65000053037216
913805006582350
103642143555214
1111846960a504a
124a9a566109a6
132055b666a618
14c83d02d138a
1564b19365ec9
hex35000ac3e8e

3642143555214 has 96 divisors (see below), whose sum is σ = 8720458216704. Its totient is φ = 1092744280320.

The previous prime is 3642143555209. The next prime is 3642143555251. The reversal of 3642143555214 is 4125553412463.

3642143555214 is a `hidden beast` number, since 3 + 6 + 42 + 1 + 43 + 5 + 552 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3642143555214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38880397 + ... + 38973959.

It is an arithmetic number, because the mean of its divisors is an integer number (90838106424).

Almost surely, 23642143555214 is an apocalyptic number.

3642143555214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642143555214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360229108352).

3642143555214 is an abundant number, since it is smaller than the sum of its proper divisors (5078314661490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3642143555214 is a wasteful number, since it uses less digits than its factorization.

3642143555214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99142 (or 99139 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 3642143555214 its reverse (4125553412463), we get a palindrome (7767696967677).

The spelling of 3642143555214 in words is "three trillion, six hundred forty-two billion, one hundred forty-three million, five hundred fifty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 5531 7038 11062 16593 33186 49779 93563 94027 99558 127213 187126 188054 254426 280689 282081 381639 561378 564162 763278 842067 846243 1144917 1590571 1684134 1692486 2151949 2162621 2289834 3181142 4303898 4325242 4771713 6455847 6487863 9543426 12911694 12975726 14315139 19367541 19463589 28630278 36583133 38735082 38927178 73166266 109749399 219498798 329248197 517496953 658496394 1034993906 1552490859 3104981718 4657472577 8797448201 9314945154 11902429919 17594896402 23804859838 26392344603 35707289757 52784689206 71414579514 79177033809 107121869271 158354067618 202341308623 214243738542 404682617246 607023925869 1214047851738 1821071777607 3642143555214