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241424712304576 = 26193731123172411
BaseRepresentation
bin110110111001001100010010…
…001101111000011111000000
31011122210222101022010000020121
4312321030102031320133000
5223121000302322221301
62213244552014550024
7101565234301221523
oct6671142215703700
91148728338100217
10241424712304576
116aa1a711191919
12230b1887808314
13a4933391b6728
1443890387a2bba
151cda0267103a1
hexdb93123787c0

241424712304576 has 112 divisors (see below), whose sum is σ = 517940903013760. Its totient is φ = 111264067998720.

The previous prime is 241424712304487. The next prime is 241424712304583. The reversal of 241424712304576 is 675403217424142.

It is a super-2 number, since 2×2414247123045762 (a number of 30 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1400199811 + ... + 1400372221.

Almost surely, 2241424712304576 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 241424712304576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258970451506880).

241424712304576 is an abundant number, since it is smaller than the sum of its proper divisors (276516190709184).

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

241424712304576 is a wasteful number, since it uses less digits than its factorization.

241424712304576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203602 (or 203592 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 52.

The spelling of 241424712304576 in words is "two hundred forty-one trillion, four hundred twenty-four billion, seven hundred twelve million, three hundred four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 296 304 592 608 703 1184 1216 1406 2368 2812 5624 11248 22496 31123 44992 62246 124492 172411 248984 344822 497968 591337 689644 995936 1151551 1182674 1379288 1991872 2303102 2365348 2758576 3275809 4606204 4730696 5517152 6379207 6551618 9212408 9461392 11034304 12758414 13103236 18424816 18922784 21879469 25516828 26206472 36849632 37845568 43758938 51033656 52412944 73699264 87517876 102067312 104825888 121204933 175035752 204134624 209651776 242409866 350071504 408269248 484819732 700143008 969639464 1400286016 1939278928 3878557856 5365947553 7757115712 10731895106 21463790212 42927580424 85855160848 101953003507 171710321696 198540059461 203906007014 343420643392 397080118922 407812014028 794160237844 815624028056 1588320475688 1631248056112 3176640951376 3262496112224 3772261129759 6353281902752 6524992224448 7544522259518 12706563805504 15089044519036 30178089038072 60356178076144 120712356152288 241424712304576