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41134343033344 = 29118878234141
BaseRepresentation
bin10010101101001010101011…
…11001111001001000000000
312101122101221002110122011011
421112211111321321020000
520342421113304031334
6223252504544130304
711443600236533641
oct1126452571711000
9171571832418134
1041134343033344
1112119a822aa350
124744140306994
1319c4c4b443732
14a22cacb176c8
154b4eea72b564
hex256955e79200

41134343033344 has 80 divisors (see below), whose sum is σ = 89761106546496. Its totient is φ = 18676346982400.

The previous prime is 41134343033341. The next prime is 41134343033347. The reversal of 41134343033344 is 44333034343114.

It is an interprime number because it is at equal distance from previous prime (41134343033341) and next prime (41134343033347).

It is a junction number, because it is equal to n+sod(n) for n = 41134343033297 and 41134343033306.

It is not an unprimeable number, because it can be changed into a prime (41134343033341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878514 + ... + 9112654.

Almost surely, 241134343033344 is an apocalyptic number.

41134343033344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41134343033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44880553273248).

41134343033344 is an abundant number, since it is smaller than the sum of its proper divisors (48626763513152).

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

41134343033344 is an equidigital number, since it uses as much as digits as its factorization.

41134343033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235057 (or 8235041 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 41134343033344 its reverse (44333034343114), we get a palindrome (85467377376458).

The spelling of 41134343033344 in words is "forty-one trillion, one hundred thirty-four billion, three hundred forty-three million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 887 1408 1774 2816 3548 5632 7096 9757 14192 19514 28384 39028 56768 78056 113536 156112 227072 312224 454144 624448 1248896 2497792 4995584 8234141 16468282 32936564 65873128 90575551 131746256 181151102 263492512 362302204 526985024 724604408 1053970048 1449208816 2107940096 2898417632 4215880192 5796835264 7303683067 11593670528 14607366134 23187341056 29214732268 46374682112 58429464536 80340513737 116858929072 160681027474 233717858144 321362054948 467435716288 642724109896 934871432576 1285448219792 1869742865152 2570896439584 3739485730304 5141792879168 10283585758336 20567171516672 41134343033344