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5040152025041 = 722337325794649
BaseRepresentation
bin100100101011000000001…
…1110001001011111010001
3122211211111212020100001202
41021112000132021133101
51130034212404300131
614415225221440545
71030065444225500
oct111260036113721
918754455210052
105040152025041
111673575470231
12694994870155
132a73907a4373
14135d32208837
158b18c737bcb
hex495807897d1

5040152025041 has 48 divisors (see below), whose sum is σ = 6138049104000. Its totient is φ = 4118735884032.

The previous prime is 5040152024993. The next prime is 5040152025043. The reversal of 5040152025041 is 1405202510405.

It is not a de Polignac number, because 5040152025041 - 234 = 5022972155857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5040152024995 and 5040152025013.

It is not an unprimeable number, because it can be changed into a prime (5040152025043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084134485 + ... + 1084139133.

It is an arithmetic number, because the mean of its divisors is an integer number (127876023000).

Almost surely, 25040152025041 is an apocalyptic number.

It is an amenable number.

5040152025041 is a deficient number, since it is larger than the sum of its proper divisors (1097897078959).

5040152025041 is a wasteful number, since it uses less digits than its factorization.

5040152025041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 5040152025041 its reverse (1405202510405), we get a palindrome (6445354535446).

The spelling of 5040152025041 in words is "five trillion, forty billion, one hundred fifty-two million, twenty-five thousand, forty-one".

Divisors: 1 7 23 49 161 373 1127 2579 2611 4649 8579 18053 18277 32543 59317 60053 106927 126371 227801 415219 420371 748489 961967 1734077 2906533 5239423 6733769 11989771 12138539 22125241 39883771 47136383 83928397 84969773 154876687 275764733 279186397 587498779 1084136809 1930353131 1954304779 4472184583 13512471917 31305292081 102860245409 219137044567 720021717863 5040152025041