Search a number
-
+
4634255144022 = 2371729370960343
BaseRepresentation
bin100001101101111111100…
…1000011011010001010110
3121102000211012122101001020
41003123333020123101112
51101411423304102042
613504540350542010
7655546106531520
oct103337710332126
917360735571036
104634255144022
111527416239949
1262a196807906
1327801556361a
14120428bdaa10
15808332c53ec
hex436ff21b456

4634255144022 has 128 divisors (see below), whose sum is σ = 11605744281600. Its totient is φ = 1202869979136.

The previous prime is 4634255144011. The next prime is 4634255144041. The reversal of 4634255144022 is 2204415524364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76768383 + ... + 76828725.

It is an arithmetic number, because the mean of its divisors is an integer number (90669877200).

Almost surely, 24634255144022 is an apocalyptic number.

4634255144022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4634255144022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802872140800).

4634255144022 is an abundant number, since it is smaller than the sum of its proper divisors (6971489137578).

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

4634255144022 is a wasteful number, since it uses less digits than its factorization.

4634255144022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64110.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 4634255144022 in words is "four trillion, six hundred thirty-four billion, two hundred fifty-five million, one hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 357 406 493 609 714 986 1218 1479 2958 3451 3709 6902 7418 10353 11127 20706 22254 25963 51926 60343 63053 77889 107561 120686 126106 155778 181029 189159 215122 322683 362058 378318 422401 441371 645366 752927 844802 882742 1025831 1267203 1324113 1505854 1749947 1828537 2051662 2258781 2534406 2648226 3077493 3499894 3657074 4517562 5249841 5485611 6154986 7180817 10499682 10971222 12249629 12799759 14361634 21542451 24499258 25599518 29749099 36748887 38399277 43084902 59498198 73497774 76798554 89247297 178494594 208243693 223812187 416487386 447624374 624731079 671436561 1249462158 1342873122 1566685309 3133370618 3804807179 4700055927 6490553423 7609614358 9400111854 11414421537 12981106846 19471660269 22828843074 26633650253 38943320538 45433873961 53267300506 79900950759 90867747922 110339408191 136301621883 159801901518 220678816382 272603243766 331018224573 662036449146 772375857337 1544751714674 2317127572011 4634255144022