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141132040240221 = 321729711061422243
BaseRepresentation
bin100000000101101111011101…
…000111111111110001011101
3200111201002110112200011010200
4200011233131013333301131
5121444301404300141341
61220055055250054113
741504311344412512
oct4005573507776135
9614632415604120
10141132040240221
1140a72842457a08
12139b440287a339
1360999044770a4
1426bcb81b71309
15114b27cc76db6
hex805bdd1ffc5d

141132040240221 has 96 divisors (see below), whose sum is σ = 226650985816320. Its totient is φ = 84215998003200.

The previous prime is 141132040240201. The next prime is 141132040240249. The reversal of 141132040240221 is 122042040231141.

141132040240221 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 32 + 0 + 402 + 4 + 0 + 221 = 666.

It is not a de Polignac number, because 141132040240221 - 215 = 141132040207453 is a prime.

It is a super-3 number, since 3×1411320402402213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141132040240201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334032526 + ... + 334454768.

It is an arithmetic number, because the mean of its divisors is an integer number (2360947768920).

Almost surely, 2141132040240221 is an apocalyptic number.

It is an amenable number.

141132040240221 is a deficient number, since it is larger than the sum of its proper divisors (85518945576099).

141132040240221 is a wasteful number, since it uses less digits than its factorization.

141132040240221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423427 (or 423424 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141132040240221 its reverse (122042040231141), we get a palindrome (263174080471362).

The spelling of 141132040240221 in words is "one hundred forty-one trillion, one hundred thirty-two billion, forty million, two hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 29 51 71 87 153 213 261 493 639 1061 1207 1479 2059 3183 3621 4437 6177 9549 10863 18037 18531 30769 35003 54111 75331 92307 105009 162333 225993 276921 315027 422243 523073 677979 1266729 1280627 1569219 2184599 3800187 3841881 4707657 6553797 7178131 11525643 12245047 19661391 21534393 29979253 36735141 37138183 64603179 89937759 110205423 111414549 208165799 269813277 334243647 447999823 509647301 624497397 869398337 1343999469 1528941903 1873492191 2608195011 4031998407 4586825709 7615996991 7824585033 12991994867 14779771729 22847990973 31807987433 38975984601 44339315187 68543972919 95423962299 116927953803 133017945561 220863912739 286271886897 540735786361 662591738217 922431635557 1622207359083 1987775214651 2767294906671 4866622077249 8301884720013 15681337804469 47044013413407 141132040240221