Search a number
-
+
41226356113201 = 7142329091422749
BaseRepresentation
bin10010101111110110000100…
…10011111011111100110001
312101222012102122022101200201
421113323002103323330301
520400423034131110301
6223403043155515201
711453335352026660
oct1127730223737461
9171865378271621
1041226356113201
1112154aaa2910a6
124759b3b2b8b01
131a0082333c70c
14a2751b116dd7
154b75d36a1201
hex257ec24fbf31

41226356113201 has 16 divisors (see below), whose sum is σ = 47165186880000. Its totient is φ = 35299880301888.

The previous prime is 41226356113127. The next prime is 41226356113223. The reversal of 41226356113201 is 10231165362214.

It is a cyclic number.

It is not a de Polignac number, because 41226356113201 - 227 = 41226221895473 is a prime.

It is a super-2 number, since 2×412263561132012 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41226356113601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28265175 + ... + 29687923.

It is an arithmetic number, because the mean of its divisors is an integer number (2947824180000).

Almost surely, 241226356113201 is an apocalyptic number.

It is an amenable number.

41226356113201 is a deficient number, since it is larger than the sum of its proper divisors (5938830766799).

41226356113201 is a wasteful number, since it uses less digits than its factorization.

41226356113201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427088.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 41226356113201 in words is "forty-one trillion, two hundred twenty-six billion, three hundred fifty-six million, one hundred thirteen thousand, two hundred one".

Divisors: 1 7 1423 2909 9961 20363 1422749 4139507 9959243 28976549 2024571827 4138776841 14172002789 28971437887 5889479444743 41226356113201