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241426425644456 = 23132421972143633
BaseRepresentation
bin110110111001001101111000…
…010101110000010110101000
31011122211010210201001200201012
4312321031320111300112220
5223121012304431110311
62213245434021443052
7101565324614323523
oct6671157025602650
91148733721050635
10241426425644456
116aa20410336498
12230b2085570488
13a493550153b00
14438915c15bbba
151cda0c6d4b78b
hexdb93785705a8

241426425644456 has 96 divisors (see below), whose sum is σ = 491400329985720. Its totient is φ = 111148924723200.

The previous prime is 241426425644431. The next prime is 241426425644473. The reversal of 241426425644456 is 654446524624142.

241426425644456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 38645692832356 + 202780732812100 = 6216566^2 + 14240110^2 .

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 241426425644395 and 241426425644404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5533093616 + ... + 5533137248.

Almost surely, 2241426425644456 is an apocalyptic number.

241426425644456 is a gapful number since it is divisible by the number (26) 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 241426425644456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245700164992860).

241426425644456 is an abundant number, since it is smaller than the sum of its proper divisors (249973904341264).

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

241426425644456 is a wasteful number, since it uses less digits than its factorization.

241426425644456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53807 (or 53790 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 59.

The spelling of 241426425644456 in words is "two hundred forty-one trillion, four hundred twenty-six billion, four hundred twenty-five million, six hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 421 676 842 1352 1684 3368 5473 9721 10946 19442 21892 38884 43633 43784 71149 77768 87266 126373 142298 174532 252746 284596 349064 505492 567229 569192 1010984 1134458 1642849 2268916 3285698 4092541 4537832 6571396 7373977 8185082 13142792 14747954 16370164 18369493 29495908 32740328 36738986 53203033 58991816 73477972 106406066 146955944 212812132 238803409 424156393 425624264 477606818 691639429 848312786 955213636 1383278858 1696625572 1910427272 2766557716 3104444317 3393251144 5514033109 5533115432 6208888634 11028066218 12417777268 22056132436 24835554536 44112264872 71682430417 143364860834 178569841453 286729721668 357139682906 573459443336 714279365812 1428558731624 2321407938889 4642815877778 9285631755556 18571263511112 30178303205557 60356606411114 120713212822228 241426425644456