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144105200514246 = 23172193430599233
BaseRepresentation
bin100000110001000000011011…
…010010010111010011000110
3200220020022201012021002011210
4200301000123102113103012
5122342004422312423441
61230253003141112250
742232154130643626
oct4061003322272306
9626208635232153
10144105200514246
1141a0974396a274
12141b46780b8686
1362540a658181a
142782a2c226886
15119d791044616
hex83101b4974c6

144105200514246 has 48 divisors (see below), whose sum is σ = 307747550142864. Its totient is φ = 44975228583936.

The previous prime is 144105200514217. The next prime is 144105200514271. The reversal of 144105200514246 is 642415002501441.

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 23 ways as a sum of consecutive naturals, for example, 214964955 + ... + 215634278.

It is an arithmetic number, because the mean of its divisors is an integer number (6411407294643).

Almost surely, 2144105200514246 is an apocalyptic number.

144105200514246 is an abundant number, since it is smaller than the sum of its proper divisors (163642349628618).

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

144105200514246 is a wasteful number, since it uses less digits than its factorization.

144105200514246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430599465 (or 430599448 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 144105200514246 in words is "one hundred forty-four trillion, one hundred five billion, two hundred million, five hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 17 34 51 102 193 289 386 578 579 867 1158 1734 3281 6562 9843 19686 55777 111554 167331 334662 430599233 861198466 1291797699 2583595398 7320186961 14640373922 21960560883 43921121766 83105651969 124443178337 166211303938 248886356674 249316955907 373329535011 498633911814 746659070022 1412796083473 2825592166946 4238388250419 8476776500838 24017533419041 48035066838082 72052600257123 144105200514246