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4138871109282 = 233713842261113
BaseRepresentation
bin111100001110100111111…
…100010011011010100010
3112122200011001011222202000
4330032213330103122202
51020302402000444112
612445212055504430
7605011040650620
oct74164774233242
915580131158660
104138871109282
111356315928478
1256a183688116
132403a8832950
14104472a6c510
15729dca3a7dc
hex3c3a7f136a2

4138871109282 has 64 divisors (see below), whose sum is σ = 11319989372160. Its totient is φ = 1091570401152.

The previous prime is 4138871109281. The next prime is 4138871109283. The reversal of 4138871109282 is 2829011788314.

4138871109282 is a `hidden beast` number, since 413 + 88 + 71 + 1 + 0 + 9 + 2 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (4138871109281) and next prime (4138871109283).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4138871109281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421125643 + ... + 421135470.

It is an arithmetic number, because the mean of its divisors is an integer number (176874833940).

Almost surely, 24138871109282 is an apocalyptic number.

4138871109282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4138871109282 is an abundant number, since it is smaller than the sum of its proper divisors (7181118262878).

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

4138871109282 is a wasteful number, since it uses less digits than its factorization.

4138871109282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842261144 (or 842261138 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 4138871109282 in words is "four trillion, one hundred thirty-eight billion, eight hundred seventy-one million, one hundred nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 842261113 1684522226 2526783339 5053566678 5895827791 7580350017 10949394469 11791655582 15160700034 17687483373 21898788938 22741050051 32848183407 35374966746 45482100102 53062450119 65696366814 76645761283 98544550221 106124900238 153291522566 159187350357 197089100442 229937283849 295633650663 318374700714 459874567698 591267301326 689811851547 1379623703094 2069435554641 4138871109282