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55514001234141 = 33194118611418257
BaseRepresentation
bin11001001111101010111000…
…10100101101100011011101
321021120002100012021111022000
430213311130110231203131
524234020133303443031
6314022440300112513
714456516462531352
oct1447653424554335
9237502305244260
1055514001234141
11167633a04a452a
126286b9a835739
1324c8c42586828
14d9cc6b8cc629
156640a728d3e6
hex327d5c52d8dd

55514001234141 has 64 divisors (see below), whose sum is σ = 88730758905600. Its totient is φ = 34187911833600.

The previous prime is 55514001234119. The next prime is 55514001234143. The reversal of 55514001234141 is 14143210041555.

55514001234141 is a `hidden beast` number, since 5 + 5 + 5 + 1 + 400 + 1 + 234 + 14 + 1 = 666.

It is not a de Polignac number, because 55514001234141 - 26 = 55514001234077 is a prime.

It is a super-2 number, since 2×555140012341412 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55514001234096 and 55514001234105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55514001234143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38433285 + ... + 39851541.

It is an arithmetic number, because the mean of its divisors is an integer number (1386418107900).

Almost surely, 255514001234141 is an apocalyptic number.

It is an amenable number.

55514001234141 is a deficient number, since it is larger than the sum of its proper divisors (33216757671459).

55514001234141 is a wasteful number, since it uses less digits than its factorization.

55514001234141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420187 (or 1420181 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 55514001234141 its reverse (14143210041555), we get a palindrome (69657211275696).

The spelling of 55514001234141 in words is "fifty-five trillion, five hundred fourteen billion, one million, two hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 41 57 123 171 369 513 779 1107 1861 2337 5583 7011 16749 21033 35359 50247 76301 106077 228903 318231 686709 954693 1418257 1449719 2060127 4254771 4349157 12764313 13047471 26946883 38292939 39142413 58148537 80840649 174445611 242521947 523336833 727565841 1104822203 1570010499 2639376277 3314466609 7918128831 9943399827 23754386493 29830199481 50148149263 71263159479 108214427357 150444447789 324643282071 451333343367 973929846213 1354000030101 2056074119783 2921789538639 6168222359349 18504667078047 55514001234141