Search a number
-
+
540141414153 = 311234134750021
BaseRepresentation
bin1111101110000101110…
…11111110011100001001
31220122012101100211111020
413313002323332130021
532322202200223103
61052045413023053
754011131160325
oct7670273763411
91818171324436
10540141414153
11199088824040
1288824324a89
133bc205b4243
141c2004c2985
15e0b4c50753
hex7dc2efe709

540141414153 has 64 divisors (see below), whose sum is σ = 842252027904. Its totient is φ = 304601792000.

The previous prime is 540141414149. The next prime is 540141414173. The reversal of 540141414153 is 351414141045.

It is not a de Polignac number, because 540141414153 - 22 = 540141414149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540141414133) 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, 10773283 + ... + 10823303.

It is an arithmetic number, because the mean of its divisors is an integer number (13160187936).

Almost surely, 2540141414153 is an apocalyptic number.

It is an amenable number.

540141414153 is a deficient number, since it is larger than the sum of its proper divisors (302110613751).

540141414153 is a wasteful number, since it uses less digits than its factorization.

540141414153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50446.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 540141414153 its reverse (351414141045), we get a palindrome (891555555198).

The spelling of 540141414153 in words is "five hundred forty billion, one hundred forty-one million, four hundred fourteen thousand, one hundred fifty-three".

Divisors: 1 3 11 23 33 41 69 123 253 347 451 759 943 1041 1353 2829 3817 7981 10373 11451 14227 23943 31119 42681 50021 87791 150063 156497 263373 327221 469491 550231 981663 1150483 1650693 2050861 3451449 3599431 6152583 10798293 12655313 17357287 22559471 37965939 47169803 52071861 67678413 141509409 190930157 399217601 518867833 572790471 711648767 1197652803 1556603499 2134946301 4391393611 7828136437 13174180833 16367921641 23484409311 49103764923 180047138051 540141414153