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41342410240 = 29517599181
BaseRepresentation
bin100110100000001100…
…110001111000000000
310221201020001001011021
4212200030301320000
51134132124111430
630554211155224
72662334455165
oct464014617000
9127636031137
1041342410240
111659579279a
1280195a5b14
133b8b219151
1420029ac06c
15111e7a307a
hex9a0331e00

41342410240 has 80 divisors (see below), whose sum is σ = 99192044160. Its totient is φ = 16525762560.

The previous prime is 41342410217. The next prime is 41342410259. The reversal of 41342410240 is 4201424314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4498450 + ... + 4507630.

It is an arithmetic number, because the mean of its divisors is an integer number (1239900552).

Almost surely, 241342410240 is an apocalyptic number.

41342410240 is a gapful number since it is divisible by the number (40) 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 41342410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49596022080).

41342410240 is an abundant number, since it is smaller than the sum of its proper divisors (57849633920).

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

41342410240 is an equidigital number, since it uses as much as digits as its factorization.

41342410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 41342410240 its reverse (4201424314), we get a palindrome (45543834554).

The spelling of 41342410240 in words is "forty-one billion, three hundred forty-two million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1759 2560 3518 7036 8795 9181 14072 17590 18362 28144 35180 36724 45905 56288 70360 73448 91810 112576 140720 146896 183620 225152 281440 293792 367240 450304 562880 587584 734480 900608 1125760 1175168 1468960 2251520 2350336 2937920 4503040 4700672 5875840 11751680 16149379 23503360 32298758 64597516 80746895 129195032 161493790 258390064 322987580 516780128 645975160 1033560256 1291950320 2067120512 2583900640 4134241024 5167801280 8268482048 10335602560 20671205120 41342410240