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41464813640448 = 283114908240251
BaseRepresentation
bin10010110110110010001110…
…11111001101101100000000
312102210222221011012212212010
421123121013133031230000
520413324414242443243
6224104401124132520
711506506510412452
oct1133310737155400
9172728834185763
1041464813640448
1112237146350770
1247981aa237140
131a1a165c9a973
14a34c9c9a82d2
154bd8dcec3433
hex25b6477cdb00

41464813640448 has 72 divisors (see below), whose sum is σ = 120389316901056. Its totient is φ = 12565095040000.

The previous prime is 41464813640429. The next prime is 41464813640491. The reversal of 41464813640448 is 84404631846414.

41464813640448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 2454111678 + ... + 2454128573.

It is an arithmetic number, because the mean of its divisors is an integer number (1672073845848).

Almost surely, 241464813640448 is an apocalyptic number.

41464813640448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41464813640448 is an abundant number, since it is smaller than the sum of its proper divisors (78924503260608).

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

41464813640448 is a wasteful number, since it uses less digits than its factorization.

41464813640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908240281 (or 4908240267 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 57.

The spelling of 41464813640448 in words is "forty-one trillion, four hundred sixty-four billion, eight hundred thirteen million, six hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 4908240251 9816480502 14724720753 19632961004 29449441506 39265922008 53990642761 58898883012 78531844016 107981285522 117797766024 157063688032 161971928283 215962571044 235595532048 314127376064 323943856566 431925142088 471191064096 628254752128 647887713132 863850284176 942382128192 1256509504256 1295775426264 1727700568352 1884764256384 2591550852528 3455401136704 3769528512768 5183101705056 6910802273408 10366203410112 13821604546816 20732406820224 41464813640448