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34133433140 = 22537113408197
BaseRepresentation
bin11111110010100000…
…101101101100110100
310021002211002001200102
4133302200231230310
51024401124330030
623403005533232
72315600252222
oct376240555464
9107084061612
1034133433140
1113526484584
126747274218
1332ac834b21
14191b3b3b12
15d4b959c45
hex7f282db34

34133433140 has 48 divisors (see below), whose sum is σ = 74269176912. Its totient is φ = 13166770176.

The previous prime is 34133433133. The next prime is 34133433161. The reversal of 34133433140 is 4133433143.

It can be written as a sum of positive squares in 8 ways, for example, as 334816804 + 33798616336 = 18298^2 + 183844^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120479 + ... + 287718.

It is an arithmetic number, because the mean of its divisors is an integer number (1547274519).

Almost surely, 234133433140 is an apocalyptic number.

It is an amenable number.

34133433140 is an abundant number, since it is smaller than the sum of its proper divisors (40135743772).

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

34133433140 is a wasteful number, since it uses less digits than its factorization.

34133433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408356 (or 408354 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 34133433140 its reverse (4133433143), we get a palindrome (38266866283).

The spelling of 34133433140 in words is "thirty-four billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 113 148 185 226 370 452 565 740 1130 2260 4181 8362 16724 20905 41810 83620 408197 816394 1632788 2040985 4081970 8163940 15103289 30206578 46126261 60413156 75516445 92252522 151032890 184505044 230631305 302065780 461262610 922525220 1706671657 3413343314 6826686628 8533358285 17066716570 34133433140