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948408431340 = 223569911226099
BaseRepresentation
bin11011100110100011000…
…11000011001011101100
310100200000012210012002210
431303101203003023230
5111014320024300330
62003405352050420
7125343305440266
oct15632143031354
93320005705083
10948408431340
1133624391a847
12133984093a10
136b585885916
1433c905b8b36
1519a0c2da8b0
hexdcd18c32ec

948408431340 has 48 divisors (see below), whose sum is σ = 2655593337600. Its totient is φ = 252904178880.

The previous prime is 948408431329. The next prime is 948408431417. The reversal of 948408431340 is 43134804849.

948408431340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 948408431340.

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, 4081611 + ... + 4307709.

It is an arithmetic number, because the mean of its divisors is an integer number (55324861200).

Almost surely, 2948408431340 is an apocalyptic number.

It is an amenable number.

948408431340 is an abundant number, since it is smaller than the sum of its proper divisors (1707184906260).

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

948408431340 is a wasteful number, since it uses less digits than its factorization.

948408431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296022 (or 296020 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 948408431340 in words is "nine hundred forty-eight billion, four hundred eight million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 69911 139822 209733 226099 279644 349555 419466 452198 678297 699110 838932 904396 1048665 1130495 1356594 1398220 2097330 2260990 2713188 3391485 4194660 4521980 6782970 13565940 15806807189 31613614378 47420421567 63227228756 79034035945 94840843134 158068071890 189681686268 237102107835 316136143780 474204215670 948408431340