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141136200444 = 223192613891373
BaseRepresentation
bin1000001101110001011…
…1111000001011111100
3111111022000122211202010
42003130113320023330
54303021331403234
6144500450331220
713124325624021
oct2033427701374
9444260584663
10141136200444
1154945784378
122342a289b10
13104030a8c55
146b8c4b1548
153a108586e9
hex20dc5f82fc

141136200444 has 144 divisors (see below), whose sum is σ = 354426377760. Its totient is φ = 43694138880.

The previous prime is 141136200433. The next prime is 141136200451. The reversal of 141136200444 is 444002631141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102793342 + ... + 102794714.

It is an arithmetic number, because the mean of its divisors is an integer number (2461294290).

Almost surely, 2141136200444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141136200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177213188880).

141136200444 is an abundant number, since it is smaller than the sum of its proper divisors (213290177316).

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

141136200444 is a wasteful number, since it uses less digits than its factorization.

141136200444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 141136200444 its reverse (444002631141), we get a palindrome (585138831585).

The spelling of 141136200444 in words is "one hundred forty-one billion, one hundred thirty-six million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 361 366 389 722 732 778 1083 1159 1167 1373 1444 1556 2166 2318 2334 2746 3477 4119 4332 4636 4668 5492 6954 7391 8238 13908 14782 16476 22021 22173 23729 26087 29564 44042 44346 47458 52174 66063 71187 78261 83753 88084 88692 94916 104348 132126 140429 142374 156522 167506 251259 264252 280858 284748 313044 335012 421287 450851 495653 502518 534097 561716 842574 901702 991306 1005036 1068194 1352553 1486959 1591307 1602291 1685148 1803404 1982612 2136388 2705106 2973918 3182614 3204582 4773921 5410212 5947836 6365228 6409164 8566169 9547842 10147843 17132338 19095684 20295686 25698507 30234833 30443529 32579917 34264676 40591372 51397014 60469666 60887058 65159834 90704499 97739751 102794028 120939332 121774116 130319668 181408998 192809017 195479502 362817996 385618034 390959004 578427051 619018423 771236068 1156854102 1238036846 1857055269 2313708204 2476073692 3714110538 7428221076 11761350037 23522700074 35284050111 47045400148 70568100222 141136200444