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34101010040 = 2353723041223
BaseRepresentation
bin11111110000100101…
…000001111001111000
310021000120001210112212
4133300211001321320
51024314324310130
623355450554252
72315024542226
oct376045017170
9107016053485
1034101010040
111350a149629
126738438988
1332a5bc1c66
141916d73b16
15d48ba2e95
hex7f0941e78

34101010040 has 32 divisors (see below), whose sum is σ = 78800986080. Its totient is φ = 13271743872.

The previous prime is 34101009989. The next prime is 34101010049. The reversal of 34101010040 is 4001010143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34101009997 and 34101010024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101010049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11519132 + ... + 11522091.

It is an arithmetic number, because the mean of its divisors is an integer number (2462530815).

Almost surely, 234101010040 is an apocalyptic number.

It is an amenable number.

34101010040 is an abundant number, since it is smaller than the sum of its proper divisors (44699976040).

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

34101010040 is a wasteful number, since it uses less digits than its factorization.

34101010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23041271 (or 23041267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 34101010040 its reverse (4001010143), we get a palindrome (38102020183).

The spelling of 34101010040 in words is "thirty-four billion, one hundred one million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 23041223 46082446 92164892 115206115 184329784 230412230 460824460 852525251 921648920 1705050502 3410101004 4262626255 6820202008 8525252510 17050505020 34101010040