Search a number
-
+
4434145037442 = 2321741536668509
BaseRepresentation
bin100000010000110011110…
…1000111100110010000010
3120200220022012011200201100
41000201213220330302002
51040122112112144232
613233003524515230
7635233150640211
oct100414750746202
916626265150640
104434145037442
11145a568303a7a
125b744a24bb16
132621a44a2733
14114884257078
157a520351c7c
hex40867a3cc82

4434145037442 has 96 divisors (see below), whose sum is σ = 10617174837360. Its totient is φ = 1331567677440.

The previous prime is 4434145037431. The next prime is 4434145037471. The reversal of 4434145037442 is 2447305414344.

It is a happy number.

4434145037442 is a `hidden beast` number, since 4 + 4 + 34 + 1 + 4 + 503 + 74 + 42 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2898332597601 + 1535812439841 = 1702449^2 + 1239279^2 .

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, 2669317 + ... + 3999192.

Almost surely, 24434145037442 is an apocalyptic number.

4434145037442 is an abundant number, since it is smaller than the sum of its proper divisors (6183029799918).

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

4434145037442 is a wasteful number, since it uses less digits than its factorization.

4434145037442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668628 (or 6668625 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 45.

The spelling of 4434145037442 in words is "four trillion, four hundred thirty-four billion, one hundred forty-five million, thirty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 53 82 102 106 123 153 159 246 306 318 369 477 697 738 901 954 1394 1802 2091 2173 2703 4182 4346 5406 6273 6519 8109 12546 13038 16218 19557 36941 39114 73882 110823 221646 332469 664938 6668509 13337018 20005527 40011054 60016581 113364653 120033162 226729306 273408869 340093959 353430977 546817738 680187918 706861954 820226607 1020281877 1060292931 1640453214 2040563754 2120585862 2460679821 3180878793 4647950773 4921359642 6008326609 6361757586 9295901546 12016653218 13943852319 14490670057 18024979827 27887704638 28981340114 36049959654 41831556957 43472010171 54074939481 83663113914 86944020342 108149878962 130416030513 246341390969 260832061026 492682781938 739024172907 1478048345814 2217072518721 4434145037442