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241240505255320 = 235472112399253501
BaseRepresentation
bin110110110110100000101110…
…100111110000010110011000
31011122011100220121001100100211
4312312200232213300112120
5223104441023321132240
62213024205210340504
7101546023416150634
oct6666405647602630
91148140817040324
10241240505255320
116a9595840a932a
122308203912a734
13a47bb60a98a2c
144380161d57dc4
151cd53449d3bea
hexdb682e9f0598

241240505255320 has 128 divisors (see below), whose sum is σ = 557201452032000. Its totient is φ = 93955942080000.

The previous prime is 241240505255311. The next prime is 241240505255333. The reversal of 241240505255320 is 23552505042142.

241240505255320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951508570 + ... + 951762070.

It is an arithmetic number, because the mean of its divisors is an integer number (4353136344000).

Almost surely, 2241240505255320 is an apocalyptic number.

241240505255320 is a gapful number since it is divisible by the number (20) 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 241240505255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278600726016000).

241240505255320 is an abundant number, since it is smaller than the sum of its proper divisors (315960946776680).

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

241240505255320 is a wasteful number, since it uses less digits than its factorization.

241240505255320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256169 (or 256165 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 241240505255320 in words is "two hundred forty-one trillion, two hundred forty billion, five hundred five million, two hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 211 235 376 422 470 844 940 1055 1688 1880 2110 2399 4220 4798 8440 9596 9917 11995 19192 19834 23990 39668 47980 49585 79336 95960 99170 112753 198340 225506 253501 396680 451012 506189 507002 563765 902024 1012378 1014004 1127530 1267505 2024756 2028008 2255060 2530945 2535010 4049512 4510120 5061890 5070020 10123780 10140040 11914547 20247560 23790883 23829094 47581766 47658188 53488711 59572735 95163532 95316376 106977422 118954415 119145470 190327064 213954844 237908830 238290940 267443555 427909688 475817660 476581880 534887110 608148899 951635320 1069774220 1216297798 2139548440 2432595596 2513969417 3040744495 4865191192 5027938834 6081488990 10055877668 12162977980 12569847085 20111755336 24325955960 25139694170 28582998253 50279388340 57165996506 100558776680 114331993012 128319417689 142914991265 228663986024 256638835378 285829982530 513277670756 571659965060 641597088445 1026555341512 1143319930120 1283194176890 2566388353780 5132776707560 6031012631383 12062025262766 24124050525532 30155063156915 48248101051064 60310126313830 120620252627660 241240505255320