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42124354345541 = 1323761311098787
BaseRepresentation
bin10011001001111110101110…
…01011010101101001000101
312112011001022200102010221002
421210333113023111221011
521010131134203024131
6225331354454303045
711605245525044126
oct1144772713255105
9175131280363832
1042124354345541
1112470924937256
124883b95057a85
131a67404182a00
14a58b8870404d
154d0b400bb6cb
hex264fd72d5a45

42124354345541 has 24 divisors (see below), whose sum is σ = 46854438783264. Its totient is φ = 37826894738880.

The previous prime is 42124354345523. The next prime is 42124354345543. The reversal of 42124354345541 is 14554345342124.

It is a de Polignac number, because none of the positive numbers 2k-42124354345541 is a prime.

It is a super-3 number, since 3×421243543455413 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42124354345543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37787750 + ... + 38886536.

It is an arithmetic number, because the mean of its divisors is an integer number (1952268282636).

Almost surely, 242124354345541 is an apocalyptic number.

It is an amenable number.

42124354345541 is a deficient number, since it is larger than the sum of its proper divisors (4730084437723).

42124354345541 is a wasteful number, since it uses less digits than its factorization.

42124354345541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104981 (or 1104968 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 47.

Adding to 42124354345541 its reverse (14554345342124), we get a palindrome (56678699687665).

The spelling of 42124354345541 in words is "forty-two trillion, one hundred twenty-four billion, three hundred fifty-four million, three hundred forty-five thousand, five hundred forty-one".

Divisors: 1 13 37 169 481 6131 6253 79703 226847 1036139 1098787 2949011 14284231 38337143 40655119 185695003 528516547 6736663097 6870715111 87576620261 249256534589 1138496063393 3240334949657 42124354345541