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201323041413444 = 2232192322955882273
BaseRepresentation
bin101101110001101000101100…
…010111100101100101000100
3222101211021221220110120221200
4231301220230113211211010
5202341434042100212234
61552102310050342500
760256052433631536
oct5561505427454504
9871737856416850
10201323041413444
1159169693440495
121a6b590728aa30
1388448b1bb5472
1437a013139b856
151841d1ac54d99
hexb71a2c5e5944

201323041413444 has 144 divisors (see below), whose sum is σ = 561415677513600. Its totient is φ = 60545982892032.

The previous prime is 201323041413353. The next prime is 201323041413451. The reversal of 201323041413444 is 444314140323102.

201323041413444 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 304 + 1 + 4 + 1 + 344 + 4 = 666.

It is a super-2 number, since 2×2013230414134442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201323041413399 and 201323041413408.

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 47 ways as a sum of consecutive naturals, for example, 24338509 + ... + 31543764.

Almost surely, 2201323041413444 is an apocalyptic number.

It is an amenable number.

201323041413444 is an abundant number, since it is smaller than the sum of its proper divisors (360092636100156).

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

201323041413444 is a wasteful number, since it uses less digits than its factorization.

201323041413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55882554 (or 55882549 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 201323041413444 its reverse (444314140323102), we get a palindrome (645637181736546).

The spelling of 201323041413444 in words is "two hundred one trillion, three hundred twenty-three billion, forty-one million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 229 276 342 414 437 458 684 687 828 874 916 1311 1374 1748 2061 2622 2748 3933 4122 4351 5244 5267 7866 8244 8702 10534 13053 15732 15801 17404 21068 26106 31602 39159 47403 52212 63204 78318 94806 100073 156636 189612 200146 300219 400292 600438 900657 1200876 1801314 3602628 55882273 111764546 167646819 223529092 335293638 502940457 670587276 1005880914 1061763187 1285292279 2011761828 2123526374 2570584558 3185289561 3855876837 4247052748 5141169116 6370579122 7711753674 9555868683 11567630511 12741158244 12797040517 15423507348 19111737366 23135261022 24420553301 25594081034 38223474732 38391121551 46270522044 48841106602 51188162068 73261659903 76782243102 97682213204 115173364653 146523319806 153564486204 219784979709 230346729306 243143769823 293046639612 294331931891 439569959418 460693458612 486287539646 588663863782 729431309469 879139918836 882995795673 972575079292 1177327727564 1458862618938 1765991591346 2188293928407 2648987387019 2917725237876 3531983182692 4376587856814 5297974774038 5592306705929 8753175713628 10595949548076 11184613411858 16776920117787 22369226823716 33553840235574 50330760353361 67107680471148 100661520706722 201323041413444