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41033141214 = 231323433311607
BaseRepresentation
bin100110001101110001…
…000000101111011110
310220220200002112210220
4212031301000233132
51133013441004324
630503402342210
72651560642212
oct461561005736
9126820075726
1041033141214
111644715835a
127b51aba966
133b3c124420
141db38a4942
151102562b79
hex98dc40bde

41033141214 has 128 divisors (see below), whose sum is σ = 94710325248. Its totient is φ = 11752836480.

The previous prime is 41033141197. The next prime is 41033141239. The reversal of 41033141214 is 41214133014.

41033141214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25533199 + ... + 25534805.

It is an arithmetic number, because the mean of its divisors is an integer number (739924416).

Almost surely, 241033141214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41033141214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47355162624).

41033141214 is an abundant number, since it is smaller than the sum of its proper divisors (53677184034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41033141214 is a wasteful number, since it uses less digits than its factorization.

41033141214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41033141214 its reverse (41214133014), we get a palindrome (82247274228).

The spelling of 41033141214 in words is "forty-one billion, thirty-three million, one hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 23 26 39 43 46 69 78 86 129 138 258 299 331 559 598 662 897 989 993 1118 1607 1677 1794 1978 1986 2967 3214 3354 4303 4821 5934 7613 8606 9642 12857 12909 14233 15226 20891 22839 25714 25818 28466 36961 38571 41782 42699 45678 62673 69101 73922 77142 85398 98969 110883 125346 138202 185029 197938 207303 221766 296907 327359 370058 414606 480493 531917 555087 593814 654718 898313 960986 982077 1063834 1110174 1441479 1589323 1595751 1796626 1964154 2694939 2882958 3178646 3191502 4255667 4767969 5389878 6914921 8511334 9535938 12234091 12767001 13829842 20661199 20744763 22872431 24468182 25534002 36702273 41322398 41489526 45744862 61983597 68617293 73404546 123967194 137234586 159043183 297341603 318086366 477129549 526065913 594683206 892024809 954259098 1052131826 1578197739 1784049618 3156395478 6838856869 13677713738 20516570607 41033141214