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54110414241 = 32131941678861
BaseRepresentation
bin110010011001001110…
…110110010110100001
312011200001021211221100
4302121032312112201
51341304231223431
640505153545013
73623622634512
oct623116662641
9164601254840
1054110414241
1120a47a11114
12a5a1575169
1351445101c0
1428945c6a09
15161a67a4e6
hexc993b65a1

54110414241 has 96 divisors (see below), whose sum is σ = 92127934080. Its totient is φ = 30313958400.

The previous prime is 54110414233. The next prime is 54110414249. The reversal of 54110414241 is 14241401145.

It is a happy number.

54110414241 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 0 + 414 + 241 = 666.

54110414241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54110414233) and next prime (54110414249).

It is not a de Polignac number, because 54110414241 - 23 = 54110414233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54110414249) 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, 6102151 + ... + 6111011.

It is an arithmetic number, because the mean of its divisors is an integer number (959665980).

Almost surely, 254110414241 is an apocalyptic number.

It is an amenable number.

54110414241 is a deficient number, since it is larger than the sum of its proper divisors (38017519839).

54110414241 is a wasteful number, since it uses less digits than its factorization.

54110414241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 54110414241 its reverse (14241401145), we get a palindrome (68351815386).

The spelling of 54110414241 in words is "fifty-four billion, one hundred ten million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 13 19 39 41 57 67 117 123 171 201 247 369 533 603 741 779 871 1273 1599 2223 2337 2613 2747 3819 4797 7011 7839 8241 8861 10127 11457 16549 24723 26583 30381 35711 49647 52193 79749 91143 107133 115193 148941 156579 168359 321399 345579 363301 469737 505077 593687 678509 1036737 1089903 1515231 1781061 2035527 2188667 3269709 4722913 5343183 6106581 6566001 6902719 7717931 11280053 14168739 19698003 20708157 23153793 24341167 33840159 42506217 62124471 69461379 73023501 89735347 101520477 146640689 219070503 269206041 316435171 439922067 462482173 807618123 949305513 1319766201 1387446519 2847916539 4162339557 6012268249 18036804747 54110414241