Search a number
-
+
201224065316144 = 241345717231228613
BaseRepresentation
bin101101110000001100100000…
…111011101111010100110000
3222101110211111002110220011012
4231300030200323233110300
5202333323341210104034
61551545020501210052
760245646631656233
oct5560144073572460
9871424432426135
10201224065316144
1159130712a74672
121a69a6a4400928
13883846a561810
14379942230b41a
15183e47686dcce
hexb70320eef530

201224065316144 has 80 divisors (see below), whose sum is σ = 421025042901792. Its totient is φ = 92615563966464.

The previous prime is 201224065316123. The next prime is 201224065316167. The reversal of 201224065316144 is 441613560422102.

It is a super-2 number, since 2×2012240653161442 (a number of 29 digits) contains 22 as substring.

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, 163167182 + ... + 164395794.

Almost surely, 2201224065316144 is an apocalyptic number.

It is an amenable number.

201224065316144 is an abundant number, since it is smaller than the sum of its proper divisors (219800977585648).

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

201224065316144 is a wasteful number, since it uses less digits than its factorization.

201224065316144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230814 (or 1230808 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 201224065316144 in words is "two hundred one trillion, two hundred twenty-four billion, sixty-five million, three hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 457 914 1723 1828 3446 3656 5941 6892 7312 11882 13784 22399 23764 27568 44798 47528 89596 95056 179192 358384 787411 1228613 1574822 2457226 3149644 4914452 6299288 9828904 10236343 12598576 15971969 19657808 20472686 31943938 40945372 63887876 81890744 127775752 163781488 255551504 561476141 1122952282 2116900199 2245904564 4233800398 4491809128 7299189833 8467600796 8983618256 14598379666 16935201592 27519702587 29196759332 33870403184 55039405174 58393518664 110078810348 116787037328 220157620696 440315241392 967423390943 1934846781886 3869693563772 7739387127544 12576504082259 15478774255088 25153008164518 50306016329036 100612032658072 201224065316144