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41414301423231 = 3112313680289827
BaseRepresentation
bin10010110101010100001001…
…01110011001011001111111
312102122011112212120101022020
421122222010232121121333
520412012442131020411
6224025244544051223
711503040665560162
oct1132520456313177
9172564485511266
1041414301423231
1112217785537300
12478a451903b13
131a15476089039
14a3266a221ad9
154bc4336a0606
hex25aa84b9967f

41414301423231 has 24 divisors (see below), whose sum is σ = 62653254031872. Its totient is φ = 24289912851600.

The previous prime is 41414301423203. The next prime is 41414301423247. The reversal of 41414301423231 is 13232410341414.

It is a happy number.

It is not a de Polignac number, because 41414301423231 - 214 = 41414301406847 is a prime.

It is a super-2 number, since 2×414143014232312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 41414301423192 and 41414301423201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41414301413231) 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, 1840133661 + ... + 1840156166.

It is an arithmetic number, because the mean of its divisors is an integer number (2610552251328).

Almost surely, 241414301423231 is an apocalyptic number.

41414301423231 is a deficient number, since it is larger than the sum of its proper divisors (21238952608641).

41414301423231 is a wasteful number, since it uses less digits than its factorization.

41414301423231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680289883 (or 3680289872 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 41414301423231 its reverse (13232410341414), we get a palindrome (54646711764645).

The spelling of 41414301423231 in words is "forty-one trillion, four hundred fourteen billion, three hundred one million, four hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 3680289827 11040869481 40483188097 114088984637 121449564291 342266953911 445315069067 1254978831007 1335945207201 3764936493021 13804767141077 41414301423231