Search a number
-
+
4453663241544 = 2331129757768457
BaseRepresentation
bin100000011001111001100…
…0000111111010101001000
3120202202200110010012020120
41000303303000333111020
51040432100242212134
613245552403423240
7636523632636306
oct100636300772510
916682613105216
104453663241544
11146787387a670
125bb196984b20
13263c950ca12a
141157b6565276
157acb3b4d649
hex40cf303f548

4453663241544 has 128 divisors (see below), whose sum is σ = 12581809142400. Its totient is φ = 1301334128640.

The previous prime is 4453663241537. The next prime is 4453663241591. The reversal of 4453663241544 is 4451423663544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5411364 + ... + 6179820.

It is an arithmetic number, because the mean of its divisors is an integer number (98295383925).

Almost surely, 24453663241544 is an apocalyptic number.

4453663241544 is a gapful number since it is divisible by the number (44) 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 4453663241544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290904571200).

4453663241544 is an abundant number, since it is smaller than the sum of its proper divisors (8128145900856).

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

4453663241544 is a wasteful number, since it uses less digits than its factorization.

4453663241544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769263 (or 769259 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 51.

The spelling of 4453663241544 in words is "four trillion, four hundred fifty-three billion, six hundred sixty-three million, two hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 757 957 1276 1514 1914 2271 2552 3028 3828 4542 6056 7656 8327 9084 16654 18168 21953 24981 33308 43906 49962 65859 66616 87812 99924 131718 175624 199848 241483 263436 482966 526872 724449 768457 965932 1448898 1536914 1931864 2305371 2897796 3073828 4610742 5795592 6147656 8453027 9221484 16906054 18442968 22285253 25359081 33812108 44570506 50718162 66855759 67624216 89141012 101436324 133711518 178282024 202872648 245137783 267423036 490275566 534846072 581721949 735413349 980551132 1163443898 1470826698 1745165847 1961102264 2326887796 2941653396 3490331694 4653775592 5883306792 6398941439 6980663388 12797882878 13961326776 16869936521 19196824317 25595765756 33739873042 38393648634 50609809563 51191531512 67479746084 76787297268 101219619126 134959492168 153574594536 185569301731 202439238252 371138603462 404878476504 556707905193 742277206924 1113415810386 1484554413848 2226831620772 4453663241544