Search a number
-
+
241426306034576 = 2413892146534957
BaseRepresentation
bin110110111001001101110001…
…001101011110101110010000
31011122211010111100222212210122
4312321031301031132232100
5223121012033321101301
62213245414110045412
7101565321632545625
oct6671156115365620
91148733440885718
10241426306034576
116aa20359870853
12230b20514a9868
13a493531435630
14438914a30434c
151cda0bb5c181b
hexdb937135eb90

241426306034576 has 60 divisors (see below), whose sum is σ = 509468932065492. Its totient is φ = 110175530437632.

The previous prime is 241426306034533. The next prime is 241426306034659. The reversal of 241426306034576 is 675430603624142.

It can be written as a sum of positive squares in 6 ways, for example, as 147534547104400 + 93891758930176 = 12146380^2 + 9689776^2 .

It is a super-2 number, since 2×2414263060345762 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71619911 + ... + 74915046.

Almost surely, 2241426306034576 is an apocalyptic number.

241426306034576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

241426306034576 is an abundant number, since it is smaller than the sum of its proper divisors (268042626030916).

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

241426306034576 is a wasteful number, since it uses less digits than its factorization.

241426306034576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146535156 (or 146535061 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 53.

The spelling of 241426306034576 in words is "two hundred forty-one trillion, four hundred twenty-six billion, three hundred six million, thirty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 1157 1424 2314 4628 7921 9256 15842 18512 31684 63368 102973 126736 205946 411892 823784 1647568 146534957 293069914 586139828 1172279656 1904954441 2344559312 3809908882 7619817764 13041611173 15239635528 26083222346 30479271056 52166444692 104332889384 169540945249 208665778768 339081890498 678163780996 1160703394397 1356327561992 2321406788794 2712655123984 4642813577588 9285627155176 15089144127161 18571254310352 30178288254322 60356576508644 120713153017288 241426306034576