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41235142440 = 23352314940269
BaseRepresentation
bin100110011001110011…
…100101011100101000
310221102202012021101210
4212121303211130220
51133422144024230
630535420113120
72656562633112
oct463163453450
9127382167353
1041235142440
1116540187918
127ba96957a0
133b71c2c58b
141dd26483b2
151115164eb0
hex999ce5728

41235142440 has 64 divisors (see below), whose sum is σ = 129083932800. Its totient is φ = 10517948672.

The previous prime is 41235142391. The next prime is 41235142453. The reversal of 41235142440 is 4424153214.

41235142440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 41235142398 and 41235142407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7467375 + ... + 7472894.

It is an arithmetic number, because the mean of its divisors is an integer number (2016936450).

Almost surely, 241235142440 is an apocalyptic number.

41235142440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41235142440 is an abundant number, since it is smaller than the sum of its proper divisors (87848790360).

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

41235142440 is a wasteful number, since it uses less digits than its factorization.

41235142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14940306 (or 14940302 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 41235142440 its reverse (4424153214), we get a palindrome (45659295654).

The spelling of 41235142440 in words is "forty-one billion, two hundred thirty-five million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 14940269 29880538 44820807 59761076 74701345 89641614 119522152 149402690 179283228 224104035 298805380 343626187 358566456 448208070 597610760 687252374 896416140 1030878561 1374504748 1718130935 1792832280 2061757122 2749009496 3436261870 4123514244 5154392805 6872523740 8247028488 10308785610 13745047480 20617571220 41235142440