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41663810340 = 223251310917657
BaseRepresentation
bin100110110011010110…
…110100101100100100
310222112121210212012200
4212303112310230210
51140311413412330
631050132014500
73003316354545
oct466326645444
9128477725180
1041663810340
1116740153409
1280a9161430
133c0c99a719
1420335524cc
15113cadca60
hex9b35b4b24

41663810340 has 72 divisors (see below), whose sum is σ = 126397023480. Its totient is φ = 11108872704.

The previous prime is 41663810329. The next prime is 41663810351. The reversal of 41663810340 is 4301836614.

It is a happy number.

41663810340 is a `hidden beast` number, since 4 + 1 + 6 + 638 + 10 + 3 + 4 + 0 = 666.

41663810340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41663810329) and next prime (41663810351).

It can be written as a sum of positive squares in 4 ways, for example, as 89415936 + 41574394404 = 9456^2 + 203898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41663810295 and 41663810304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350792 + ... + 2368448.

It is an arithmetic number, because the mean of its divisors is an integer number (1755514215).

Almost surely, 241663810340 is an apocalyptic number.

It is an amenable number.

41663810340 is an abundant number, since it is smaller than the sum of its proper divisors (84733213140).

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

41663810340 is a wasteful number, since it uses less digits than its factorization.

41663810340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30781 (or 30776 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 41663810340 in words is "forty-one billion, six hundred sixty-three million, eight hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13109 17657 26218 35314 39327 52436 52971 65545 70628 78654 88285 105942 117981 131090 157308 158913 176570 196635 211884 235962 262180 264855 317826 353140 393270 471924 529710 589905 635652 786540 794565 1059420 1179810 1589130 2359620 3178260 231465613 462931226 694396839 925862452 1157328065 1388793678 2083190517 2314656130 2777587356 3471984195 4166381034 4629312260 6943968390 8332762068 10415952585 13887936780 20831905170 41663810340