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34144341024204 = 22326740135301817
BaseRepresentation
bin1111100001101110110010…
…10100010101110111001100
311110220011111211111012212200
413300313121110111313030
513433410102300233304
6200341405502201500
710122563413020015
oct760673124256714
9143804454435780
1034144341024204
11a974596404574
1239b549a883290
131608a4a280c38
1486084868000c
153e328cb3ee39
hex1f0dd9515dcc

34144341024204 has 72 divisors (see below), whose sum is σ = 87815955213168. Its totient is φ = 11183615308800.

The previous prime is 34144341024151. The next prime is 34144341024259. The reversal of 34144341024204 is 40242014344143.

34144341024204 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 434 + 10 + 2 + 4 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16683697 + ... + 18618120.

Almost surely, 234144341024204 is an apocalyptic number.

It is an amenable number.

34144341024204 is an abundant number, since it is smaller than the sum of its proper divisors (53671614188964).

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

34144341024204 is a wasteful number, since it uses less digits than its factorization.

34144341024204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35302295 (or 35302290 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34144341024204 its reverse (40242014344143), we get a palindrome (74386355368347).

The spelling of 34144341024204 in words is "thirty-four trillion, one hundred forty-four billion, three hundred forty-one million, twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 401 402 603 802 804 1203 1206 1604 2406 2412 3609 4812 7218 14436 26867 53734 80601 107468 161202 241803 322404 483606 967212 35301817 70603634 105905451 141207268 211810902 317716353 423621804 635432706 1270865412 2365221739 4730443478 7095665217 9460886956 14156028617 14191330434 21286995651 28312057234 28382660868 42468085851 42573991302 56624114468 84936171702 85147982604 127404257553 169872343404 254808515106 509617030212 948453917339 1896907834678 2845361752017 3793815669356 5690723504034 8536085256051 11381447008068 17072170512102 34144341024204