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34385143146 = 2331210755733
BaseRepresentation
bin100000000001100000…
…111010010101101010
310021202100201020220020
4200001200322111222
51030410044040041
623444000541310
72325044615514
oct400140722552
9107670636806
1034385143146
1113645575a82
1267b7621836
13331ca25963
1419429b6bb4
15d63aca866
hex80183a56a

34385143146 has 48 divisors (see below), whose sum is σ = 71725645152. Its totient is φ = 10988121120.

The previous prime is 34385143099. The next prime is 34385143151. The reversal of 34385143146 is 64134158343.

It is a junction number, because it is equal to n+sod(n) for n = 34385143098 and 34385143107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589096 + ... + 644828.

It is an arithmetic number, because the mean of its divisors is an integer number (1494284274).

Almost surely, 234385143146 is an apocalyptic number.

34385143146 is an abundant number, since it is smaller than the sum of its proper divisors (37340502006).

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

34385143146 is a wasteful number, since it uses less digits than its factorization.

34385143146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55907 (or 55876 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 34385143146 in words is "thirty-four billion, three hundred eighty-five million, one hundred forty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 31 62 93 107 186 214 321 642 961 1922 2883 3317 5766 6634 9951 19902 55733 102827 111466 167199 205654 308481 334398 616962 1727723 3455446 5183169 5963431 10366338 11926862 17890293 35780586 53559413 107118826 160678239 184866361 321356478 369732722 554599083 1109198166 5730857191 11461714382 17192571573 34385143146