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241411334534032 = 241317222717691743
BaseRepresentation
bin110110111000111111110100…
…110101101111001110010000
31011122202200211222110212000111
4312320333310311233032100
5223120240403120042112
62213234500330531104
7101564251630105165
oct6670776465571620
91148680758425014
10241411334534032
116aa14a76844903
12230ab173596a94
13a491cb6787580
144388529bbc06c
151cd99e203b5a7
hexdb8ff4d6f390

241411334534032 has 120 divisors (see below), whose sum is σ = 537444469852416. Its totient is φ = 104404489365504.

The previous prime is 241411334534021. The next prime is 241411334534047. The reversal of 241411334534032 is 230435433114142.

It is a super-2 number, since 2×2414113345340322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799553 + ... + 22491295.

Almost surely, 2241411334534032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241411334534032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268722234926208).

241411334534032 is an abundant number, since it is smaller than the sum of its proper divisors (296033135318384).

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

241411334534032 is a wasteful number, since it uses less digits than its factorization.

241411334534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17692025 (or 17692002 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 241411334534032 its reverse (230435433114142), we get a palindrome (471846767648174).

The spelling of 241411334534032 in words is "two hundred forty-one trillion, four hundred eleven billion, three hundred thirty-four million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 227 272 289 442 454 578 884 908 1156 1768 1816 2312 2951 3536 3632 3757 3859 4624 5902 7514 7718 11804 15028 15436 23608 30056 30872 47216 50167 60112 61744 65603 100334 131206 200668 262412 401336 524824 802672 852839 1049648 1705678 3411356 6822712 13645424 17691743 35383486 70766972 141533944 229992659 283067888 300759631 459985318 601519262 919970636 1203038524 1839941272 2406077048 3679882544 3909875203 4016025661 4812154096 5112913727 7819750406 8032051322 10225827454 15639500812 16064102644 20451654908 31279001624 32128205288 40903309816 52208333593 62558003248 64256410576 66467878451 68272436237 81806619632 104416667186 132935756902 136544872474 208833334372 265871513804 273089744948 417666668744 531743027608 546179489896 835333337488 887541671081 1063486055216 1092358979792 1160631416029 1775083342162 2321262832058 3550166684324 4642525664116 7100333368648 9285051328232 14200666737296 15088208408377 18570102656464 30176416816754 60352833633508 120705667267016 241411334534032