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141136011016 = 237111359929423
BaseRepresentation
bin1000001101110001011…
…1001001111100001000
3111111022000022012220021
42003130113021330020
54303021304323031
6144500442310224
713124324204530
oct2033427117410
9444260265807
10141136011016
1154945665020
122342a1b8374
1310403040970
146b8c4624c0
153a1081c511
hex20dc5c9f08

141136011016 has 128 divisors (see below), whose sum is σ = 355912704000. Its totient is φ = 50671745280.

The previous prime is 141136010999. The next prime is 141136011047. The reversal of 141136011016 is 610110631141.

It is a happy number.

141136011016 is digitally balanced in base 3, 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4782081 + ... + 4811503.

It is an arithmetic number, because the mean of its divisors is an integer number (2780568000).

Almost surely, 2141136011016 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 141136011016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177956352000).

141136011016 is an abundant number, since it is smaller than the sum of its proper divisors (214776692984).

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

141136011016 is a wasteful number, since it uses less digits than its factorization.

141136011016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30059 (or 30055 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 141136011016 its reverse (610110631141), we get a palindrome (751246642157).

The spelling of 141136011016 in words is "one hundred forty-one billion, one hundred thirty-six million, eleven thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 599 616 728 1001 1144 1198 2002 2396 4004 4193 4792 6589 7787 8008 8386 13178 15574 16772 26356 29423 31148 33544 46123 52712 54509 58846 62296 85657 92246 109018 117692 171314 184492 205961 218036 235384 323653 342628 368984 382499 411922 436072 599599 647306 685256 764998 823844 1199198 1294612 1529996 1647688 2265571 2398396 2589224 2677493 3059992 4207489 4531142 4796792 5354986 8414978 9062284 10709972 16829956 17624377 18124568 21419944 29452423 33659912 35248754 58904846 70497508 117809692 123370639 140995016 193868147 229116901 235619384 246741278 387736294 458233802 493482556 775472588 916467604 986965112 1357077029 1550945176 1603818307 1832935208 2520285911 2714154058 3207636614 5040571822 5428308116 6415273228 10081143644 10856616232 12830546456 17642001377 20162287288 35284002754 70568005508 141136011016