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41343120240 = 2435318596469
BaseRepresentation
bin100110100000001111…
…011111001101110000
310221201021101010002120
4212200033133031300
51134132314321430
630554234314240
72662343503152
oct464017371560
9127637333076
1041343120240
1116596128174
128019888980
133b8b407376
142002b14ad2
15111e893610
hex9a03df370

41343120240 has 160 divisors (see below), whose sum is σ = 132472473600. Its totient is φ = 10655124480.

The previous prime is 41343120211. The next prime is 41343120253. The reversal of 41343120240 is 4202134314.

41343120240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41343120240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6387726 + ... + 6394194.

It is an arithmetic number, because the mean of its divisors is an integer number (827952960).

Almost surely, 241343120240 is an apocalyptic number.

41343120240 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 41343120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66236236800).

41343120240 is an abundant number, since it is smaller than the sum of its proper divisors (91129353360).

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

41343120240 is a wasteful number, since it uses less digits than its factorization.

41343120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41343120240 its reverse (4202134314), we get a palindrome (45545254554).

The spelling of 41343120240 in words is "forty-one billion, three hundred forty-three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 859 930 1240 1488 1718 1860 2480 2577 3436 3720 4295 5154 6469 6872 7440 8590 10308 12885 12938 13744 17180 19407 20616 25770 25876 26629 32345 34360 38814 41232 51540 51752 53258 64690 68720 77628 79887 97035 103080 103504 106516 129380 133145 155256 159774 194070 200539 206160 213032 258760 266290 310512 319548 388140 399435 401078 426064 517520 532580 601617 639096 776280 798870 802156 1002695 1065160 1203234 1278192 1552560 1597740 1604312 2005390 2130320 2406468 3008085 3195480 3208624 4010780 4812936 5556871 6016170 6390960 8021560 9625872 11113742 12032340 16043120 16670613 22227484 24064680 27784355 33341226 44454968 48129360 55568710 66682452 83353065 88909936 111137420 133364904 166706130 172263001 222274840 266729808 333412260 344526002 444549680 516789003 666824520 689052004 861315005 1033578006 1333649040 1378104008 1722630010 2067156012 2583945015 2756208016 3445260020 4134312024 5167890030 6890520040 8268624048 10335780060 13781040080 20671560120 41343120240