Search a number
-
+
1340148668868 = 223389388935851
BaseRepresentation
bin10011100000000111000…
…101011101100111000100
311202010011021011011002000
4103200013011131213010
5133424111024400433
62503353352545300
7165552063506202
oct23400705354704
94663137134060
101340148668868
11477398a93369
121978910b2230
13994b5c00a39
1448c137b6072
1524cd89c7113
hex1380715d9c4

1340148668868 has 96 divisors (see below), whose sum is σ = 3514499856000. Its totient is φ = 441571046400.

The previous prime is 1340148668861. The next prime is 1340148668869. The reversal of 1340148668868 is 8688668410431.

1340148668868 is a `hidden beast` number, since 1 + 34 + 0 + 1 + 486 + 68 + 8 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1340148668861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37363143 + ... + 37398993.

It is an arithmetic number, because the mean of its divisors is an integer number (36609373500).

Almost surely, 21340148668868 is an apocalyptic number.

1340148668868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340148668868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757249928000).

1340148668868 is an abundant number, since it is smaller than the sum of its proper divisors (2174351187132).

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

1340148668868 is a wasteful number, since it uses less digits than its factorization.

1340148668868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39842 (or 39834 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 1340148668868 in words is "one trillion, three hundred forty billion, one hundred forty-eight million, six hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 3889 4806 7778 9612 11667 15556 23334 35001 35851 46668 70002 71702 105003 107553 140004 143404 210006 215106 322659 346121 420012 430212 645318 692242 967977 1038363 1290636 1384484 1935954 2076726 3115089 3190739 3871908 4153452 6230178 6381478 9345267 9572217 12460356 12762956 18690534 19144434 28716651 37381068 38288868 57433302 86149953 114866604 139424539 172299906 278849078 344599812 418273617 557698156 836547234 1254820851 1673094468 2509641702 3764462553 5019283404 7528925106 12408783971 15057850212 24817567942 37226351913 49635135884 74452703826 111679055739 148905407652 223358111478 335037167217 446716222956 670074334434 1340148668868