Search a number
-
+
140546432016 = 2434532046157
BaseRepresentation
bin1000001011100100111…
…0000101110000010000
3111102202220220111120000
42002321032011300100
54300314341311031
6144322141450000
713103604650364
oct2027116056020
9442686814500
10140546432016
1154672884651
12232a4870900
131033ab53453
146b3402d2a4
1539c8bac3e6
hex20b9385c10

140546432016 has 100 divisors (see below), whose sum is σ = 414457487532. Its totient is φ = 45964848384.

The previous prime is 140546432003. The next prime is 140546432017. The reversal of 140546432016 is 610234645041.

140546432016 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 643 + 2 + 0 + 1 + 6 = 666.

140546432016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42700089600 + 97846342416 = 206640^2 + 312804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (140546432017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 954391 + ... + 1091766.

Almost surely, 2140546432016 is an apocalyptic number.

140546432016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140546432016 is an abundant number, since it is smaller than the sum of its proper divisors (273911055516).

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

140546432016 is a wasteful number, since it uses less digits than its factorization.

140546432016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046230 (or 2046215 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 140546432016 in words is "one hundred forty billion, five hundred forty-six million, four hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 11448 17172 22896 34344 68688 2046157 4092314 6138471 8184628 12276942 16369256 18415413 24553884 32738512 36830826 49107768 55246239 73661652 98215536 108446321 110492478 147323304 165738717 216892642 220984956 294646608 325338963 331477434 433785284 441969912 650677926 662954868 867570568 883939824 976016889 1301355852 1325909736 1735141136 1952033778 2602711704 2651819472 2928050667 3904067556 5205423408 5856101334 7808135112 8784152001 11712202668 15616270224 17568304002 23424405336 35136608004 46848810672 70273216008 140546432016