Search a number
-
+
351413145022350 = 23524361813881411
BaseRepresentation
bin100111111100110111011111…
…1101011011010111110001110
31201002020202202021202222012110
41033321232333223122332032
5332030023110111203400
63243220545315444450
7134006522220544455
oct11771567753327616
91632222667688173
10351413145022350
11a1a75529052734
12334b627b2b6726
131211116ab7b998
1462ac6b6365b9c
152a960e0679e50
hex13f9bbfadaf8e

351413145022350 has 96 divisors (see below), whose sum is σ = 891787587191424. Its totient is φ = 91529281065600.

The previous prime is 351413145022349. The next prime is 351413145022421. The reversal of 351413145022350 is 53220541314153.

It is a junction number, because it is equal to n+sod(n) for n = 351413145022299 and 351413145022308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398253145 + ... + 399134555.

It is an arithmetic number, because the mean of its divisors is an integer number (9289454033244).

Almost surely, 2351413145022350 is an apocalyptic number.

351413145022350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

351413145022350 is an abundant number, since it is smaller than the sum of its proper divisors (540374442169074).

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

351413145022350 is a wasteful number, since it uses less digits than its factorization.

351413145022350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943282 (or 943277 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 351413145022350 in words is "three hundred fifty-one trillion, four hundred thirteen billion, one hundred forty-five million, twenty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 2150 3225 6450 61813 123626 185439 309065 370878 618130 881411 927195 1545325 1762822 1854390 2644233 2657959 3090650 4407055 4635975 5288466 5315918 7973877 8814110 9271950 13221165 13289795 15947754 22035275 26442330 26579590 37900673 39869385 44070550 66105825 66448975 75801346 79738770 113702019 132211650 132897950 189503365 199346925 227404038 379006730 398693850 568510095 947516825 1137020190 1895033650 2842550475 5685100950 54482658143 108965316286 163447974429 272413290715 326895948858 544826581430 817239872145 1362066453575 1634479744290 2342754300149 2724132907150 4086199360725 4685508600298 7028262900447 8172398721450 11713771500745 14056525800894 23427543001490 35141314502235 58568857503725 70282629004470 117137715007450 175706572511175 351413145022350